There are technically a few others:
HROT - Very directly Quake inspired: Amid Evil - Actually Heretic 2 inspired but thus Quake-like: Gravelord - Sort of situated between Quake and Doom gameplay-wise with some modern elements too: Wrath: Aeon of Ruin - Literally runs on the Quake engine and very Quake inspired but people have opinions about it lol:
Basically Dusk is the only straightforward Quake successor I can think of, most of them mix it up with a number of other games and go for faster-paced more frenetic stuff which is less... Quake-y.
Painkiller was also a Quake spiritual successor but has since become kind of its own thing.