Here’s a crazy idea… I don’t want to give any money to Google, but I would happily pay double the amount in taxes to get public infrastructure of comparable quality.

Peer to peer social network for indexing, querying and sharing torrents, using personal computers/phones/rented seed services to seed files, with a distributed indexing algorithm that branches out from contacts to their contacts to some depth in a recursive fashion, and a distributed search that queries your contacts as well as special index nodes that are well connected in the larger social network.

Then we'd have things like PeerTube built on top of this distributed social network, which would handle fetching video thumbnails, metadata, etc and presenting it in a YouTube style interface.

Host video, give money to people who upload videos.

These are both incredibly difficult, and why Youtube and Twitch have basically zero competition.