My sympathies go out to you OP. I tackled withdrawals a number of years ago (opiates, in my case - painkillers stemming from a botched elbow surgery), and it can be a bitch of a thing to go through. Don't get disheartened by having had multiple past attempts - that's pretty common. You've had a long period of the addiction's psychological reinforcement mechanism locking in that behaviour, so it's not surprising that it might take a few red-dos of going through detox before your brain associates the booze with the DTs and creates an appropriate fear of addiction.
Your doc will have already told you this, but take up physical exercise as soon as you're in a medical state to do so (don't need to wait until the shakes have completely stopped, but obviously you can't do it during the delerium tremens). Don't think about 'going hard'; just aim for that point where you're breathing hard enough that you couldn't easily carry on a conversation at the same time. If you're too sedated to do anything else, go for a walk once or twice a day - take someone with you if you're heavily sedated. And if you can handle doing it twice a day, then do it.
That kind of physical self-care: good diet, plenty of water and gentle exercise, will do more to make the WDs easier than what books/games/tv you've got available. It's a biological thing. You're depressed and anxiety-ridden right now (assuming you've started the detox) because your brain isn't producing enough dopamine (loosely speaking; no, taking cocaine to raise your dopamine levels won't help you
) - i.e. your body reduced its production of dopamine to counter the constant overload from the alcohol, and now it's reliant on the alcohol to keep your dopamine levels from crashing. Right now, they are crashing, and the withdrawal process is largely about your brain recovering its normal ability to regulate its biochemistry. This isn't just general health advice, it's what to do at a purely chemical level to counteract the psychological effects of withdrawal (not just the 'feeling shitty' - also the agitation and insomnia).
As soon as the WDs pass, make a point of doing the things that alcohol/pills stopped you from doing. Don't just leave it to chance, deliberately schedule 1-2 activities per day that you enjoy, but haven't been able to do properly for a while due to the addiction. That's probably the main reason I'm writing this. You've requested game advice, which is fine, but once the worst of the WDs have passed, make sure you aren't constantly playing computer games - it's fine to play an hour or two, but make sure you're getting out of the house and taking advantage of your freedom. No doubt there's people you want to see, work/education/applications you want to catch up on, books to read, sports/leisure you want to play, family to spend time with, and you probably spent many nights miserable because you were missing the freedom you had to do all that before your addiction. So take advantage of it. If you don't want to relapse and have to go through all this again, then make sure you fucking celebrate your return to the world. Don't retreat to the kind of activities that occupied your life when you were too wasted to do anything else.
OT: My recommendation is to avoid crpgs and play one of the better Civ or 4x games.
The agitation from WDs often precludes the patience that good tactical crpgs require (you'll shut the game down in frustration the 1st time you die twice to the same encounter), and it's hard to enjoy a story-based game in that mindset (not a hard rule though - sometimes the fluctuations in brain chemistry seemed to effect me like a woman going through her period, and I'd get weepy over a movie that I wouldn't have otherwise cared about; the same might be true for a game, so see how you feel).
But the better Civ and 4x games have that marvellous combination of low-intensity strategy, where you can lose yourself in it without getting frustrated, combined with a one-more-turn element that can keep you plugging away all day. That's what you're really after here - something that will pass large chunks of time, but without having to deal with people like you would in a mmo, and there's no anti-social timewaster like a Civ / 4x game.
Keep strong, and when it gets hard, just keep reminding yourself that you've made it before, and about how great it's going to be to have the chains off.