I've been using SimpleLogin for a while now which does just this. The thing I like about SimpleLogin, is that it can be self-hosted and they have an open source app on F-Droid.
My issue with SimpleLogin is that they mutate the emails forwarded to your inbox in a manner that breaks features based on the sender. If you're using gmail's email grouping feature it gets thrown off by this. I am not sure how I would go about it, but I would guess that spam detection would become somewhat (more) difficult too.