Definitely Einstein's or Game Preserve. I don't know what side of town you are staying on, but Game Preserve is in The Woodlands (I-45 north) and Einstein's is in Katy (I-10)

Einstein's has 9 machines now, all pristine condition, and it's about $1.00 a play I believe. It's a bar so you can get drinks and bar food there. They have: Attack From Mars Remake, Ghostbusters Premium , Theatre of Magic, The Champion pub, Iron Man vault, Game of Thrones LE, Star Trek Premium, The Walking Dead LE, Guardians of the Galaxy LE & AC/DC vault.

Game Preserve is $15.00 to get in, but all games are on free play. Not a bar, but they have a byob policy, and you can bring your own food in as well. They have too many pinball machines for me to list EMs to modern day. The newest machine they have is Stern Star Wars. They are not as pristine as Einstein's, but it is a great variety. They also have classic video games on free play and a comic book store inside. http://www.gamepreservehouston.com/
If you like tournaments, there is a three strike tournament tonight starting @ 6pm at Game Preserve

If you are downtown/Midtown Poison Girl is a bar that has machines, I have not been there personally but I think they have 6-7 which are priced normally. https://www.facebook.com/pg/Poison-Girl-Cocktail-Lounge-35173892321/about/?ref=page_internal