HD5750 and HD5770 should be pretty close and they are the only two choices in the 5700 range.
You might not be able to run some new games at all. Those cards are limited to DX11 and there are some newer games that require DX12.
Anything from that era certainly though. They were entry level GPUs, but more then enough for decent gaming. I would stick to Steam and play older titles or indie games for the best experience. Trying to force an old rig to play newer games can be quite disappointing. Also, new games are more expensive.