I've known several arcade/amusement center operators/owners over the past few years. There seem to be a few themes from their experiences:
Bigger is often better. Unless you're in a high foot traffic location like a mall, you're a destination. You need something big, mostly for the kids. Laser tag seems popular enough to earn profit. Miniature golf can work. Go-karts can work. Carnival rides can work. Bowling can work. The coin-op games complement at that point by providing things for people to do while waiting for the big stuff.
If you can do the full blown "Family Entertainment Center" or "Eat and Play Center" thing ala Chuck-e-Cheese or Dave&Busters and Gameworks, you can make money. This requires an insane amount of capital, though, in the millions of USD, to start up. Make sure your market can support it. Those kinds of establishments have rather high fixed cost, so you need lots of volume. You'll make a lot of money on alcohol sales, so look into the liquor licensing rules in your area.
Redemption earns but video doesn't. Sorry, I know the classic people all love 'em (and I do too - I don't like redemption), but the video games just don't earn with the exception of the crazy expensive dedicated games. Video games are mostly there to occupy the older clientele (parents, lone teens) while their kids blow tons of money on redemption or laser tag. You have to keep your margins in mind on the redemption, though: tickets are about 1c/ea in smallish quantity, and you can't blow your potential profit away on the prizes. Remember to factor costs in when you take count at the end of the week.
For videos that earn, look at shooters, racers, in some markets, the dedicated music games (mostly Dance Dance Revolution), generally in that order. These games are big, so factor your cost in terms of floor space in.
For redemption that earns, the cheezy things like Slam-a-Winner, Colorama, and cheezy coin pushers seem to do best, usually in that order. The latest redemption craze can do well at first, but they don't seem to have staying power, so it's a gamble: either buy it and hope it pays itself off eventually or buy it, milk the initial rush, then try to sell before it loses much value.
Skill based redemption games like Skee Ball earn OK. These usually also serve to occupy parents while their kids are playing, but again be sure to factor in redemption costs.
Food makes bank. If you've got the venue for a snack bar, it's where a bunch of your money will come from. One place I knew could basically map their profit to their soft drink sales. The rest of the place basically broke even.
Full blown restaurants have lots of overhead. If you're planning to go that route, make sure you do your homework. The restaurant is almost a separate entity with both sides attempting to drive business to each other.
A bar can be effective (see D&B "Eat, Drink, and Play"), but has lots of legal hassle and can attract an undesireable clientele or promote undesireable behavior if you're going for a more family oriented location which could keep away people with young children.
Mornings are dead. Don't even bother being open. There's no reason to open until about 1PM on a non school day and 3-4PM on a non school day.
Weekdays are also dead at destination establishments. Consider taking Mondays and/or Tuesdays off. Also consider that some of your costs don't go down just because you do that.
Staff is a killer in terms of economics. Most of the small establishments I know wouldn't be in business if it weren't for the owner and sometimes even the owner's family working free or very cheap.
In a nutshell, the pure video arcade is dead. If you want to have a viable business, you need something else: at least redemption, and then you need a lot of foot traffic nearby. Make sure you research your market before you do anything, and be prepared to shell out lots of cash up front and lose it all. If you do make money, you won't make much. Do it because it's fun, not because it's a way to earn a living.