Vickers began work in the Interborough Rapid Transit Company in 1906, as a young architect, and worked for 36 years, until 1942. A 2007 show organized by the New York Transit Museum described how he was responsible for more than 300 New York City Subway stations, the most of any architect. He was the system's lead designer for almost 30 years.
Vickers was also an accomplished painter.
- 181st Street station (IND Eighth Avenue Line), Fort Washington Avenue between 185th and 181st Streets; A train
- 190th Street station (IND Eighth Avenue Line), under Fort Washington Avenue between Fort Tryon Park (Cabrini Boulevard) and W. 190th Street; A train
- 86th Street station (IRT Lexington Avenue Line), under Lexington Avenue, between 85th and 87th Streets; 4, 5, 6, and <6> trains
- 28th Street station (IRT Broadway–Seventh Avenue Line), Seventh Avenue between 26th and 29th Streets; 1 and 2 trains
- West Fourth Street–Washington Square station (IND Sixth Avenue and Eighth Avenue Lines), under Sixth Avenue between W. 3rd Street and Waverly Place; A, B, C, D, E, F, <F>, and M trains
- Chambers Street station (IRT Broadway–Seventh Avenue Line), under West Broadway between Warren, Chambers and Reade Streets; 1, 2, and 3 trains
- Ninth Avenue station (BMT West End Line), 38th Street and Ninth Avenue near the junction of New Utrecht Avenue; D train
- Avenue U station (BMT Sea Beach Line), between Avenue U and Avenue T and Seventh and Eighth Streets; N, Q, and W trains
- Bay Parkway station (BMT West End Line), above Bay Parkway at 86th Street; D train
- New Utrecht Avenue station (BMT Sea Beach Line), beneath the junction of New Utrecht Avenue with 15th Avenue and 62nd Street; N, Q, and W trains
- Ocean Parkway station (BMT Brighton Line), above the junction of Brighton Beach Avenue and Ocean Parkway; Q train
- Wilson Avenue station (BMT Canarsie Line), Chauncey Street at Wilson Avenue; L train
In the Bronx:
- Pelham Parkway station (IRT White Plains Road Line), junction of White Plains Road and Pelham Parkway; 2 and 5 trains
- Westchester Square–East Tremont Avenue station (IRT Pelham Line), above Westchester Avenue, from Overing Street to Ferris Place; 6 and <6> trains
- Woodlawn station (IRT Jerome Avenue Line), junction of Bainbridge Avenue and Jerome Avenue; 4 train
- Court Square station (IRT Flushing Line), above 23rd Street between 44th Drive and 45th Road, Long Island City; 7 and <7> trains
- Flushing–Main Street station (IRT Flushing Line), near junction of Roosevelt Avenue and Main Street, Flushing; 7 and <7> trains
- Kennedy, Randy (August 3, 2007). "Underground Renaissance Man: Watch the Aesthetic Walls, Please". The New York Times. Retrieved 2011-12-18.
- "Architects of the NYC Subway – New Transit Museum Exhibit", Wired New York. 2007
- "National Register Information System". National Register of Historic Places. National Park Service. July 9, 2010.
- Paintings By Squire Vickers (1872-1947): Designing Architect of the New York Subway System, by Elisabeth and Robert Kashey