New PC game

Depends on what you like the most, you've got pretty great titles in that list of yours.

Hands down BF1 for me, Mafia 3 works poorly but got good gameplay and storyline, Titanfall 2 is good as well, Shadow Warrior 2 is great game and it's got co-op campaign, Shadow of Mordor is good game and has some nice challenge to it, Firewatch is another great multiplayer fps, Xcom 2 if you're into turned based strategy games, Ark is for survival.

The only title I see that you SHOULD AVOID AT ALL COST is No Man's Sky

Bad news, bud, Battlefield 1 and Titanfall 2 are Origin exclusives, you can't buy those on Steam :( Same with The Sims (at least the new ones, I think).

I think the best bang for your buck would be XCOM 2 and Shadow of Mordor; they offer the longest gameplay, most diverse kind of gameplay between two games, and both have excellent production values. Where XCOM has excellent replay value, Shadow of Mordor has great story and a lengthy campaign. I think you can also score both for a total of <80 dollars, leaving you with enough left over for another game or two if they're on sale!

You have a very generous daughter! Maybe you should buy the newest Worms game if it includes hot-seat multiplayer so you two can play together?

I've never tried worms gonna check it out. I noticed last night about bf1 and titanfall2 being an origin game, that sucks. I grabbed shadow warrior 2 and gonna wait for this fall sale I keep hearing about. Thanks for the tips :) I put no man's sky in there as a joke . I did get it before and received a refund