It's not Web3, but https://www.thndr.games/ makes a few games (six as of this comment) for iOS and Android that let you earn some sats just by playing them.
Unlike games from companies like Voodoo, their ad placement is obnoxious; some full screen ads, yes, but not after every time you tap the screen (as is seemingly the case with Voodoo games).
Bitcoin Bounce - Their very first game; you play as a bouncing object and must tap the screen at the right time to land on a platform and continue bouncing.
Turbo 84 - You control a car; swipe left and right to avoid obstacles, collect tokens, power ups, and tickets.
Bitcoin Bay - A bubble shooter game; play a set of campaign levels of varying difficulty or go for an endless mode.
Bitcoin Snake - Play the classic game of snake and earn tickets to get some bitcoin.
Tetro Tiles - Think of a fill-in-the-space puzzle game; you're given irregularly-shaped pieces and must fit them in the board, placing them to complete rows, columns, or 3x3 boxes to clear them and free up space.
Web3 or Web3.0 refers to an internet powered by various decentralized technologies; usually, cryptocurrencies of some sort (i.e., those with smart contracts) and the like, alongside distributed means of storing data like the Interplanetary File System (or IPFS).
Fireship.io provides a pretty good explanation of Web3 and how it works, though be aware that it's geared towards web developers and programmers more than the layperson: https://www.youtube.com/watch?v=wHTcrmhskto. You can probably find other videos on YouTube (or your preferred alternative) that describe Web3.0 in a more generalized sense.
The term comes as an increment of Web2, which is nominally what the internet is now. Web2 or Web2.0 is the general connecting of everyone; I am simplifying greatly, but it's the establishment of an actually social web of people who are connected to each other through the internet. Data flows in considerably massive quantities between entities, all connected to each other to achieve great things.
Web2.0 itself comes from Web1 or Web1.0, which is the early internet. Think static pages on static web servers. It is the bare-bones internet, where you simply ask for something and get it back; you ask for a picture and you get that picture back, you ask for a news article and you get that news article back. The concept of a user's identity on the internet or a website isn't well established, if at all; and therefore the usage of such an identity to customize a page for a specific user doesn't exist.
Good 'ol @Siggy47added a post today about a site that linked to a few android games on their earn sats page.
I was rather skeptical and thought I'd run exodus to check them for trackers and permissions (as they hadn't been checked before). Sadly they were full of both trackers and permissions...
Socials
Games
Simple Additional Reading (aka relevant Wikipedia links)