I want some browser game suggestions

Can't say enough good things about this game, really good, accessible, the dev is very friendly.
There are too many activities to do, so you are sure to find quite a few in there that you like.
You have been exiled from the core systems into the outer ones, and here is where your story begins. You captain a Ship and do things such as cargo hauling, combat, passenger hauling, derelict exploration, planetory exploration, mining refining ores, crafting items and so on. with hundreds of NPC missions to do, this game has more things to do than you can shake a stick at :D
Falconner is my captain name just in case you wish to try it out from what you have read so far, can put that in the referal box, also feel free to write to me ingame if you have any questions, or you could also join the players of core exiles on discord.
Cheers

Tau Station is pretty fun. Sci Fi game that prides itself on being story driven.
taustation.space

I find it interesting how Happy Tower says that it has a unique plot, but I see no story in it at the moment. I just started though.
What genre are you looking for? The games at Overmobile are pretty simple it seems. However, you say you don't like cars yet Popmundo has a number of vehicles and is the most complex out of the games you mention.

New1000ad is pretty cool

Sryth is especially fun. A huge world with lots of quests.

www.sryth.com

www.hogwartslive.com

Infini Crawl is a new text-based dungeon crawl that runs in your browser of choice. Be sure to enable third party cookies in order to save and reload your game. The developer is new to the concept of accessibility and has already made huge strides in making this game accessible and user-friendly for screen reader users. There is a thread on audiogames.net, in New Releases, that has a lot of good info. The dev is vary active there. Here is the link. The game is available on itch.io, but the version at this link has a cleaner interface.
http://docs.buddywagner.com/games/InfiniCrawl/InfiniCrawl.html
Enjoy!

This is another great game that works well in the mobile browser. It is heavy on resource management, so if that's your kind of game, you'll probably love this one. Enjoy!

https://sparticle999.github.io/SpaceCompany/