One thing that I've realized as I have gotten older, arcades have changed a lot. Dave and Busters and other arcades are designed to extract money as quickly as possible. When I was younger, if you were good at a game you could keep playing so my friends and I got very good at these games.
While not totally covered by a cover charge, there's also an arcade called Nickelrama. Cover charge, and then all games cost like 1-6 nickels.
There's a brand called Cidercade (used to be very affiliated with a cidery), they've apparently got a location in Austin as well. Similar story, $12 cover, all games included.
There is also Pixel Palace in Round Rock that has no cover but most games are 25 cents.
Austin Toy Museum has a bunch of arcades ($17 entrance fee). Austin Pinball Collective for mostly pinball.
Pinballz is good too but expensive and does the Dave and Busters model, however, most of their classic arcades are cheap to play.