Do you have any suggestions for web games with autosplitters?

Welcome to the site!

If you are asking for web games that have autosplitter integration with Livesplit, I don't think there are any like that. The autosplitters are working by reading values from game memory, and browsers handle that differently. (Downloadable versions of games, like from Itch.io, might be different in that aspect).

You can try the games by Eddynardo: https://www.speedrun.com/eddynardo The community standard is playing on a specific "autosplitter" version I made for those games; which has extra timers that track your level times during a speedrun, and also track "long loads" and remove them automatically. It's not equal to the data you can get from Livesplit, but is similar.