My go-to style for a weekend casual (aka not weekend NIGHT) romper or jumpsuit is to pair it with slides, a choker + a brimmed hat. Though, I'd totes rock a faux suede ball cap as well.
If the sun is out and I'm wearing a romper, I'll stay away from heels + instead opt for easy slides and sneakers. I read about all of these fashion editors totally swearing off of heels with shorts during the day. And when you think about it, it kind of makes sense -- and it looks kind of...well...not my style :).
Anyways, I like to keep it easy, breezy in the summer heat so don't try to wear too much else. If I'm going somewhere that I know it's going to be chilly, I'll usually bring an oversized denim jacket or a giant, slouchy sweater (because #comfy).
psst: find more rompers here.