I have found this little arcade gem for my tablet. Plays fantastic, and gets along without shooting at all, nevertheless needs skill, reflexes, good assessment. I love it:
It reminds me a bit of (and gives me the feeling of) Völkerball/Dodgeball (beside Volleyball my most favourite ballgame at school
since nobody could rival me in that, I almost always was the last man standing and when I was about to shoot instead of passing, they almost panicked for they knew what was coming for them
)
A bit older, yet an innovative game that is both relaxing and exciting at the same time, is Osmos. It is easy to underestimate the difficulty by the laid-back looks of it - it can quickly become
extremely difficult.