For partying Grießmühle used to be the best place to go, at least imo, but they got kicked out of their spaces. The shows have been moved to Alte Münze, which is a pretty acceptable substitute.
Obviously Berghain, about blank, etc is great as well. If you like to get a bit more wild, KitKat is very fun, but they have a dresscode, so you’d need some fetishy/latex/leather kinda outfits.
I also really love the Sameheads, its a bar with a small dancefloor in the basement, very cool people there usually. Not open every weekend, so check the website for events.
For more hard tech kinda stuff, I can recommend the SYNOID party series and Hellectro.
Generally its a good idea to check residentadvisor or facebook events to see whats going on on the weekend.
You should also definitely check out Spacehall and Staalplaat, which are the most fun record stores in the city. Spacehall has absolutely everything you could ever want, and I regularly spend hours browsing for new tunes there, and Staalplaat has a lot of very experimental stuff, some real hidden gems there.
Youre also very welcome to hit me up if you’re here, me and my friends are usually out pretty much every weekend, if you’d like to tag along