I play a lot of games on my Laptop which doesn't have a GPU. I recently got a new one with HD4000 graphics, but before that I had one with HD3000. Since laptop screens are smaller, I always play on 720p, since this gives a huge performance boost.
Games I've played in 720p on Intel HD3000:
Mass Effect Trilogy (don't know about Andromeda) is playable, but not that fluid, which some people don't like when playing a shooter. You'll get used to it.
Borderlands is perfectly playable.
Life is Strange sometimes feels a bit choppy, but is still playable.
Telltale's Sam&Max games work great.
Telltale's Back to the Future works great.
Torchlight 2 didn't stutter or lag at any time.
Shovel Knight runs like a charm.
Dust: An Elysian Tail doesn't feel any different than it does on my GTX 1060.
Final Fantasy VII and VIII are playable. Battles do feel a bit laggy sometimes, but they were never that smooth, even on my desktop with a GTX 1060. It's a different kind of lag, but not necessarily better or worse.
Morrowind definitely had less frames than on my desktop, but there was still enough room to increase render distance of some objects.
Legend of Heroes: Trails in the Sky works great.
Then there's a ton of older or less demanding games (Deus Ex, Thief, Blackwell series, etc.) that ran flawless, even at native 1080p. But they'd run on a potatoe, so I'm not even trying to remember all of them.
Games I've played in 720p on Intel HD4000:
Life is Strange: Before the Storm... A borderline case. I wanted to play it on my laptop, lying on the couch. I guess I could've get used to it being choppy and laggy, but the cooling fans became a tad too loud for my taste. Should work on any PC with more air flow.
Final Fantasy IX ran great.
Grandia II was a bit choppy.