Just to give a rundown of the various minor left parties:
The Communist Party of Britain (CPB): The Marxist-Leninist faction of the old CPGB, which broke away from the main party in 1988 after it adopted a Eurocommunist platform. A fairly old-school Marxist-Leninist formation, it maintains ties with the Workers Party of Korea and is a signatory to the Pyongyang Declaration (organised in 1992 by the latter party).
It turns out I'm in a server with a CPB supporter, it's a normally non-political place for posting foxes but they posted this alongside the message "Literally the only party that actually gives a crap about us here":
(yea I know discord will kill this link in a few days, it's not too important, just a rainbow flag with a hammer and sickle saying "for LGBT liberation not rainbow capitalism" and their website)