How many stations have you been to?

Well, in that case, in visiting order:

BWI Airport
NYC Penn Station
Albany, NY (old station)
Washington, DC
Baltimore Penn Station
Philadelphia 30th street station
Pittsburgh, PA.

Here's my list... 37. All were visits due to either my train's arrival or departure, except as noted in ( ):

NEC/Downeaster:
Washington DC-Union Sta (visited on class trip, not via train)
Philadelphia-30th St
NY-Penn Station
Stamford (via Metro North)
Bridgeport (via Metro North)
New Haven-Union Sta
Old Saybrook
Kingston, RI (visited by car, passed through on train)
Boston-Back Bay
Boston-South Station
Boston-North Station
Durham (visited by car, passed through on train)
Dover (visited by car, passed through on train)
Wells
Portland
Freeport
Brunswick

Vermonter:
Meriden, CT
Berlin, CT
Windsor, CT (visited by car, passed through on train)
Windsor Locks, CT (same)
Springfield, MA
Brattleboro, VT
Bellows Falls, VT (via GMRC)
Claremont Jct, NH (visited by car, passed through on train)
Windsor, VT (same)
White River Jct, VT (same)
Montpelier Jct, VT (same)
Waterbury, VT
Essex Jct, VT
St Albans, VT

Adirondack/Ethan Allen:
Croton-Harmon, NY (via Metro North)
Poughkeepsie, NY (via Metro North)
Albany-Rensselear, NY
Saratoga Springs, NY (via S&NC)
Rutland, VT
Rouses Point, NY

Here's what I got...it includes Thruway and Joint VIA stations.

Schenectady
Grand Central Station (1989)
Portland Union Station
Albany-Rennesaler
Syracuse
Rome
Montreal Central Station
Toronto Union Station
Oakville, ON
Poughkeepsie
Chicago Union Station
Havre, MT
Whitefish, MT
Seattle King Street
Vancouver Pacific Central Station
Albany, OR
Victoria Ferry Terminal (used by Amtrak Partner Victoria Clipper)

Albany-Rensselear, NY
Albuquerque, NM
Brattleboro, VT
Schenectady, NY
Boston South Station
Boston North Station
Chicago Union Station
Croton Harmon, NY
Yonkers, NY
Poughkeepsie, NY
NY Penn Station
NY Grand Central Terminal
Newark Penn Station, NJ
Newark Liberty Airport, NJ
New Haven Union Station, CT
Stamford, CT
Essex Jct., VT
Montreal Central Station, Canada
Metro Park, NJ
30th Street Philadelphia, PA
Wilmington, DE
Washington DC Union Station
Tampa Union Station, FL
Fort Lauderdale, FL
Los Angeles Union Station
San Bernardino, CA
Santa Barbara, CA
San Diego, CA
Oceanside, CA
Portland Union Station
King Street Seattle

Boarding or alighting, except as noted:

Gare Centrale, Montreal, QC (on foot)
Port Kent, NY (I have driven right past three times and seen the train pull in once while I was on the ferry; I am not sure I've ever gotten out of my car and stood on the platform)
Windsor-Mt Ascutney, VT (by car, eating dinner)
Portland, ME (only by car)
Old Orchard Beach
Wells, Maine (passed through and visited by car)
Boston North Station
Boston South Station
Back Bay Station
Rte. 128
Providence
New Haven (outside only, during an engine change)
NY Penn
30th St Philadelphia (passed through on Amtrak and also via SEPTA but on upper level)
Wilmington, Del.
BWI (via MARC)
Washington Union Station
Albany, NY (during splitting, joining, or changing trains on the LSL)
Springfield, MA (during a smoke stop on the Lake Shore Limited)
Worcester, MA (same)
Buzzards Bay, Sandwich, and Hyannis, MA (via Cape Cod and Hyannis; not sure if the Cape Codder was running in those summers in the late 1980s, so not sure they should count)
Rockville, MD (via MARC)
Pittsburgh (during a smoke stop on the Three Rivers)
Cleveland
Buffalo-Depew (I think; during a stop)
Toledo (during a stop on the LSL)
South Bend
Kalamazoo
Detroit (on foot while at a conference nearby)
Chicago Union Station
Homewood, IL
Milwaukee I have only seen from a couple blocks away, and also passed through.
Midway (St. Paul/Minneapolis)
Havre (outside only, during a stop)
East Glacier
Champaign-Urbana (old IC station and new "Illinois Terminal Building')
Mattoon (the most recent addition to the list, in October 2016)
Effingham, IL
Crawfordsville, IN
Indianapolis, IN (passed through and visited by car)
Cincinnati (just on the platform, during a stop)
Galesburg, IL (outside only, during a stop)
Ottumwa, IA (during a stop)
Omaha (outside only, during a stop)
Denver (Union Station and the temporary station they used during the recent big construction)
Winter Park (during stops)
Glenwood Springs (in and out, during a stop)
Grand Junction, Colo. (inside and out, bought things, during stops)
Salt Lake City (Rio Grande Station used by Amtrak and also the current amshak)
Barstow, Cal., (I'm pretty sure I got out and walked the platform, during a stop on the Desert Wind, 1997)
Los Angeles
San Diego
Del Mar (or a nearby different San Diegan stop)
Fullerton
Sacramento (inside, during a stop, got an agent to stamp a journal for me)
Portland, Oregon
Ogden, UT (during a stop on the Pioneer in 1997)
Green River, WY (during a stop on the Pioneer in 1997)
Laramie, WY (during a stop on the Pioneer in 1997)
Bloomington-Normal, Il
St. Louis (outside only, during a stop)
Dallas
Grand Central, but long after it was no longer an Amtrak station.

Maybe a couple more during stops that I'm forgetting.

I may have stepped off at a couple of others that I am forgetting.

43 Years of riding Amtrak, I've been to a lot of stations. 35 years ago, my job took me to a lot of places and my employer let me take the train back.

Albany-Rennesaler (Amshack & current)
Albuquerque, NM
Amherst, MA
Ann Arbor
Atlanta (Peachtree), GA
Berlin, CT
Birmingham, AL
Boston Back Bay
Boston South Station
Brattleboro, VT
Bridgeport, CT
Buffalo Depew
Chicago Union Station
Cincinnati (old Amshack)
Cleveland
Croton Harmon, NY
Cumberland, MD
Dallas, TX
Dearborn, MI
Denver
Detroit MC
El Paso, TX
Elkhart, IN
Emeryville
Flagstaff
Fort Lauderdale, FL
Fort Worth, TX – (current station)
Glenview, IL
Glenwood Springs
Hammond, LA
Hammond-Whiting
Harrisburg
Hartford, CT
Havre, MT
Holyoke, MA
Hudson, NY
Jack London
Jackson, MI
Jackson, MS
Jacksonville
Kansas City
Los Angeles Union Station
Meriden, CT
Midway (St. Paul/Minneapolis)
Milwaukee, WI
MKE Airport
Montreal Central Station
Montreal Windsor
New Carrolton
New Haven, CT
New Orleans
New York City – Grand Central Station – (Amtrak 48/49)
New York City – Penn Station
Newark Penn Station, NJ
Newport News
Niles, MI
Northampton, MA
Oakland 16th St
Oakland Jack London
Ogden, UT
Omaha
Orlando
Philadelphia 30th St
Pittsburgh
Portland Union Station
Poughkeepsie, NY
Richmond RVR
Sacramento
Salt Lake City (Rio Grande Station used by Amtrak)
San Antonio
Seattle
South Bend (Amtrak & CSS&SB)
Springfield, MA
St. Louis, MO – Amshack
St. Louis, MO – current station
Stamford, CT
Tampa
Toledo, OH
Toronto, ON
Trenton
Vancouver, BC
Wallingford, CT
Washington Union Station
West Palm Beach
Windsor Locks, CT
Windsor, CT
Worcester, MA

My list is pretty short, but here goes:

Alton, IL
Springfield, IL
Chicago, IL
St. Louis, MO
Kirkwood, MO
Washington, MO
Jefferson City, MO
Kansas City, MO
Milwaukee, WI
Milwaukee Airport

About 75 that I remember (:

North Station
South Station
Back Bay
Framingham
Worcester
Springfield
Rensselaer
Brattleboro
Willimantic
Montreal Central
Montreal Windsor
Windsor Locks
Providence
Hyannis
Mystic
New London
New Haven
Bridgeport
Stamford
Grand Central Terminal
Tarrytown
Croton-Harmon
Poughkeepsie
Saratoga Springs
New York Penn
Newark, NJ, Penn
Metropark
New Brunswick
Princeton Jct.
Trenton
Lancaster
Harrisburg
Pittsburgh
Toledo
Detroit
Dearborn
Chicago
North Phila.
30th St.
Wilmington
Aberdeen
Baltimore Penn
BWI
New Carrollton
Washington, DC
Alexandria
Franconia-Springfield
Quantico
Fredericksburg
Ashland
Staples Mill Road
Richmond Main St.
Williamsburg
Newport News
Norfolk
Fayetteville
Raleigh
Charlotte
Greensboro
Atlanta
Miami
New Orleans
San Antonio
Dallas
El Paso
Phoenix
Los Angeles
Bakersfield
Oakland
Manassas
Charlottesville
Staunton
Charleston, WV
St. Louis
Dayton

Brunswick ME
Boston North Sta
Boston South Sta
Boston Back Bay
Route 128
New London CT
Old Saybrook
New Haven
NY Penn Station
NY Grand Central (well technically that was PC pre Amtrak)
Metropark
Princeton Jct
Phila. 30th St.
Paoli PA
Lancaster PA
Altoona
Chicago Union Sta
Randolph VT
Montreal Quebec (Montrealer)
Croton Harmon

82 that I can remember; all Amtrak; all boarding or detraining, including 4 now defunct - Mobile, Pocatello, Las Vegas, and Columbus, Oh; 1 Ambus - StP/Clearwater, and 2 city changes - Bloomington to Normal, Phoenix to Maricaipo.

Quincy
Macomb
Galesburg
Kewanne
Princton
Naperville
Chicago
Springfield, Il
Alton
STL
Charlottesville
Toledo
Buffalo
Schenectady
Albany/Ren
NYP
Boston
Philadelphia
Baltimore
Washington
Hattiesburg
Slidell
Cumberland
Pittsburgh
Connellsville
Champaign/Urbana
Brookhaven
Hammond, LA
NO
Houston
Dallas
San Antonio
Del Rio
Benson
LA
Oceanside
San Diego
Old Town SD
Burbank
Oxnard
Ventura
Carpenteria
Santa Barbara
Goleta
Emeryville
Davis
Glenwood Springs
Winter Park/Frasier
Denver
Lincoln, NE
Mt Pleasant
Ft Madison
Lamy
Kansas City
Sedelia
Warrensburg
Hermann
Kirkwood
Milwaukee
Red Wing
MSP
Malta
Everett
Seattle
Portland
Jacksonville
Deland
Orlando
Lakeland
Tampa
Winter Haven
Sebring
Hollywood
Battle Creek
E Lansing
StP/Clearwater
Bloomington
Pocatello
Columbus, Oh
Mobile
Las Vegas
Phoenix

Atlanta, GA
Baltimore, MD
Birmingham, AL
Boston, MA (South)
Bridgeport, CT
BWI Airport, MD
Davis, CA
Emeryville, CA
Hartford, CT
Martinez, CA
New Carrollton, MD
New Haven, CT
New York, NY (Penn)
Philadelphia, PA
Sacramento, CA
Stamford, CT
Suisun City, CA
Washington, DC
Wilmington, DE

wow this is old, but here’s my list in alpha order

Baltimore Pennsylvania Station, MD (BAL)
Bellows Falls, VT (BLF)
Benton Harbor-Golf Course, MI (BHG)*
Boston North Station, MA (BON)
Boston South Station, MA (BOS)
Brattleboro, VT (BRA)
Burlington, IA (BRL)
Charleston, SC (CHS)
Charlottesville Union Station, VA (CVS)
Chicago Union Station, IL (CHI)
Cincinnati Union Terminal, OH (CIN)
Claremont, NH (CLA)
Cleveland Lakefront Station, OH (CLE)
Clifton Forge, VA (CLF)
Effingham, IL (EFG)
Elyria, OH (ELY)
Erie, PA (ERI)
Franconia-Springfield Station, VA (FRS)*
Glenview, IL (GLN)
Hinton, WV (HIN)
Huntington, WV (HUN)
Indianapolis Union Station, IN (IND)
Joliet Transportation Center, IL (JOL)
Joliet Union Station, IL (JOL)*
Kalamazoo Transportation Center, MI (KAL)
La Crosse, WI (LSE)
LaGrange Road Station, IL (LAG)
Lafayette, IN (LAF)
Mattoon, IL (MAT)
Memphis Central Station, TN (MEM)
Mendota, IL (MDT)
Michigan City, IN (MCI)
Milwaukee Airport Railroad Station (MKA)
Milwaukee-Intermodal Station (MKE)
Naperville, IL (NPV)
Newark Liberty International Airport, NJ (EWR)
New Buffalo, MI (NBM)*
New Buffalo, MI (NBU)
New Haven Union Station, CT (NHV)
New York City Pennsylvania Station, NY (NYP)
New York City Grand Central Terminal, NY (NYG)
Niles Michigan Central Railroad Depot, MI (NLS)
Norfolk, VA (NFK)
Philadelphia-30th Street Station, PA (PHL)
Pittsburgh Union Station, PA (PGH)
Portage, WI (POG)
Providence, RI (PVD)
St. Joseph-Benton Harbor Station, MI (SJM)
St. Louis-Gateway Multimodal Transportation Center, MO (STL)
South Bend, IN (SOB)
Summit, IL (SMT)
Toledo-Martin Luther King, Jr. Plaza, OH (TOL)
Washington Union Station, DC (WAS)
White River Junction, VT (WRJ)
Williamsburg Transportation Center, VA (WBG)
Windsor, VT (WNM)
Windsor Locks, CT (WNL)
Winona, MN (WIN)
Wisconsin Dells, WI (WDL)
*Closed/Seasonal