Sure, I can help you find some 2D web games that fit your criteria. Here are a few options:
1. "Card Hunter" - This is a free-to-play online collectible card game that combines elements of tabletop RPGs and tactical strategy games. It is available on the web and uses HTML5 technology.
2. "AdventureQuest Worlds" - This is a massively multiplayer online role-playing game (MMORPG) that is available on the web and uses Adobe Flash technology. It features 2D graphics and a fantasy-themed world.
3. "Crystal Saga" - This is another MMORPG that is available on the web and uses Flash technology. It features 2D graphics and a fantasy-themed world, and players can collect and upgrade equipment and battle monsters.
4. "KingsRoad" - This is a free-to-play action RPG that is available on the web and uses HTML5 technology. It features 2D graphics and a fantasy-themed world, and players can collect loot and battle enemies.
5. "Eredan" - This is a free-to-play online collectible card game that is available on the web and uses Flash technology. It features 2D graphics and a fantasy-themed world, and players can collect cards and battle other players.
I hope this helps! Let me know if you have any other questions or if there's anything else I can help you with.