There are two definite major theatres in Victoria, both are close to Victoria station, and well served by bus routes. The number 24 is a good choice, travelling from Pimlico to Hampstead Heath, it travels via Victoria, Westminster, Charing Cross, Leicester square, etc. As you can see, there are 3800+ seats at these two theatres alone.
I visited on a Monday, and did not enter the theares asking about their accessibility.
Apollo Victoria Theatre – Wicked
17 Wilton Road, London, SW1V 1LG (2384)
The Apollo Victoria is an art deco theatre. which originally opened as a cinema in 1930, within two major roads. Wicked has been cast for the past thirteen years, and recently welcoming its 10 millionth visitor. Watch some delightful backstage tasters to put you in the mood to want to visit.
Facilities: Disabled toilets, Infrared hearing loop, Wheelchair accessible
If travelling from Charing Cross, travel via Westminster, St James Park, Westminster Abbey, and exit the 24 bus after Westmnster Cathedral, which is close to Victoria station. The 24 bus returns from Wilton road.
Victoria Palace Theatre – Hamilton
Victoria Street, London, SW1E 5EA (1517)
Hamilton has been running since 2017, with the obvious breaks. The Theatre was built in 1910 to replace the Royal Standard Music Hall. In 1978 Annie ran for 4,344 performances. In 1989 Buddy ran until 1995. In 2005 Billy Elliott ran until 2016, about the time I watched the show, absolutely brilliant.
Facilities: Disabled toilets, Infrared hearing loop, Wheelchair accessible
Email their access team for wheelchair access information
If travelling from Charing Cross, travel via Westminster, St James Park, Westnibster Abbey, exit the 24 bus after Westmnster Cathedral, which is close to Victoria station To return to Charing Cross get the 24 bus from Wilton road, back towards Hampstead Heath, and via Leicester square station.