Sounds like a jolly good time.
The fun with parallel dimensions is taking reader expectations and play with them. Also, for this kind of episodic serial, it won't hurt to heavily borrow the narrative structure from modern TV shows. Use the first couple episodes to set up your universe, explain the "rules" (so the readers know when you eventually start subverting/breaking them), toss in the seeds for recurring faces both nice and naughty and then think about an overarching plot. It doesn't have to be a galaxy-spanning mammoth adventure, but even a cross-dimension-hopper like "Sliders" had a point ("find a way home"). It keeps readers engaged and allows you the luxury of "filler episodes" which just move the story along.
As for themes, here are some which always tickle my fancy:
- Anthropomorphic animals (catgirls, bunnygirls and the like). Play with the stereotypes of cute, fluffy, always horny.
- Sexy robots/androids: They can be as human-like or as machinistic as you want, but one of the cool things about sex bots is their modular construction. Add whatever toy makes for the weirdest/hottest sex scenes.
- If you want to go really ambitious, you can go alternate timelines/histories. A staple of dimension hopping. Extra-roaring '20s. The Japanese won WWII and now the whole world is like an anime. Place the cast into Ancient Greece for all the buttfuck jokes you can think of. Or Ancient Egypt. Sex slaves and humongous orgies and no one bats an eye.
I'm curious how you're going to address the issue of paradoxes. What happens if your star meets herself? Will it tear holes into the space-time continuum or do you take the superhero route and shrug it off, enabling "sex with herself"?
Anyway, I'm intrigued. Let me know when you have something published, please.