I am only aware of JPEG, actually. Can anyone help me? PNG uses deflate and not DCT, TIFF supports sort of everything (JPEG is uncommon but possible) but generally no DCT is used, GIF uses some RLE but also not with a DCT, J2K also does not use a DCT, EXR can use Wavelet as well but no DCT I'm aware of.
JPEG-XL also uses DCT.
As an aside, while PNG uses deflate for entropy coding, the conceptual analog to DCT in the context of PNG would be its row filters. JPEG's entropy coding isn't all that different to PNG's (aside from the arithmetic coding option which isn't widely used).
And yes, I am sorry mixing DCT with entropy coding, I've noticed already during writing my comment, but didn't find a better way, and I see you understood what I meant.