There’s a spectrum of ways to reform the House using proportional representation. Two key factors are how many representatives a multi-member district would have and how winners of House seats would be proportionally allocated.
In 2021, Rep. Don Beyer of Virginia led a group of other House Democrats in reintroducing a proposal that’s been floating around Congress since 2017. The Fair Representation Act would require states to use ranked choice voting for House races. It calls for states with six or more representatives to create districts with three to five members each, and states with fewer than six representatives to elect all of them as at-large members of one statewide district.
Why not go all the way. Instead of voting only for specific politicians, you vote for a list of a party. On that list you can change the names and even put people from other parties on it. Each candidate of a specific list gives one vote for the party. Then the seats are distributed acording to the percentage of votes for a party. Then the seats are given to the top candidates of each individual list.
That’s how it works in Switzerland and it results in a quite diverse parliament. You can even vote for tiny parties as they can band together with bigger parties and add their list votes together. So the Animal Protection party could band together wirh the social party and the votes would not be wasted, even when voting for a small party.