I'd live in the Dragon Ball universe because it reminds me of the wild west with lots of exploration, dinosaur ridin', wishing for underwear havin, fightin' bad guy hijinks. Until it moves to Z and then everyone keeps dying every like 10 years when a bad guy invades and blows the earth up.
Lupin III. It's basically real life, and I probably wouldn't get involved in any of the nonsense, but the heists would be fun to hear about.
Also Azumanga Daioh. Even more mundane, but it would be fun to know you exist in the same space and time as Ayumu Kasuga... Or maybe I'd get haunted by Chiyo's father.
Patlabor would be interesting. Basically modern day, but with Mecha. The live action sequel states the Mecha have hugely fallen in popularity, because the prolonged recession made their use too expensive - making the Mecha cops a relic of the past and at constant threat of getting axed. So it might even be unremarkable, until one day you stumble upon these huge machines doing work.