JPEG2000 is a big one that seems to be missing. It is used in medical imaging or something, because laws? But its visual quality is worse than old JPEG, despite a PSNR advantage. Apparently, compression researchers used to think that people care about PSNR.
I've always been curious about the distinction between JPEG and JPEG2000. From what I can find online, everyone says that the visual quality is better than JPEG, it just flopped due to slow adoption. Could you elaborate on your claim that it's worse?
Visually, where JPEG produces ringing artifacts, JPEG2000 produces blurriness. JPEG artifacts look "sparkly" and are often a reasonable replacement for the original texture, JPEG2000 artifacts look offensively dull (my opinion). I think, in theoretical speak, it's called "JPEG better preserves high frequency energy". You should be able to find side by side comparisons using your favorite image search engine.