Can anyone request me an anime that is like AKB0048 and Uta No Prince Sama?

Aikatsu is an awesome choice! You will not regret it!

Hmm... cute characters... Well, K-ON! and Lucky Star are the first ones that come to mind, but neither of them are very supernatural. Kanon is a harem and the main girls are really cute-looking, but I'm not sure if that's what you're looking for. It has quite a few supernatural moments though, especially during the Makoto, Mai, and Ayu arcs. AHA! Tokyo Mew Mew! That may be exactly what you're looking for! The main cast is adorable and it's pretty darn supernatural. I posted a picture below.
Here's a link to the summary: link

Hope I could help!