Minecraft: 1.18
Mod: 2.2.0 + 2.1.1 + 2.0.2

Details

Wanted to add the mod to my modpack but sadly makes it totally unplayable.
Loading into a singleplayer world with the mod added makes me unable to enter any singleplayer world.

Please run the game with -Dextrasounds.debug=true added to your Java arguments and attach a log file as well.

Done

latest.log

It's kinda scuffed so it crashes the first time you try to start it lol
Big fan of the mod so I very much appreciate you taking a look!

https://drive.google.com/file/d/1szZC7FA5FwnboV4PeLxaKBvsKht96AbY/view?usp=sharing

Can you send a link to your modpack please? Would be easier to test on my end

Seems like this is a known Fabric issue, with enough entries in any registry the Fabric registry sync exceeds the maximum packet size. Since ExtraSounds adds about a thousand new sound events just with vanilla items, reaching the limit is much easier with it installed. This issue isn't specific to ExtraSounds though, nor mods in general - too much of any content will go over the ~2MB packet size limit, as in this issue relating to recipes. (the sounds.json generated with your modpack is 1MB already)
To work around this, you can try adding the XL Packets mod, which fixes the issue on my side. Fabric devs have also made a workaround for the registry sync system by compressing packets. This was committed ~2 hours ago (how convenient!), so the next Fabric API version should fix the crash as well.
Not much I can do about the registry sync system apart from bypassing it - I can't think of any clean way to do this, so I'm closing this issue for now. Once a Fabric API version with the fix is released, I'm going to set that as the minimum API version.

Fabric API 0.45.1 fixed this :)