You're talking about the two extreme ends of maneuverability. Yes, a trainer can do rolls and loops. It resists those maneuvers with its self-righting characteristics, so it's harder to do them. Trainers are designed to fly slowly, be self-correcting and stable, and be very forgiving in stalls. A mini Telemaster would fit your needs nicely. If it survives the initial learning process, it would be simple to build a flat wing (no dihedral) with ailerons to turn it into a nice sport plane. If you don't want to build, the Apprentice ARF is a nice one.

On that topic, sport planes are usually the next step. The venerable Ugly Stick is hands down the most successful one out there, although there are lots of others. Sport planes don't have the self-correcting features, so they are actually easier to control and do aerobatics with. But they are still simple designs and built lightly to be forgiving and versatile. Sport planes will also be a lot less affected by the wind than a trainer. Depending on your skills and teachability (which most beginner pilots overestimate), starting with a sport plane might work for you.

Then there are aerobatics planes and 3D planes. Both are designed to be neutral handling with control coupling minimized. Some like the old Kaos or the current F3A pattern planes aren't super maneuverable but do fly super smoothly to maximize scores. Others like most IMAC planes (Extra 300, Edge 540, Yak 54) have big enough controls to do 3D while also flying smoothly with lower rates. Then there are the dedicated 3D planes like a U Can Do 3D with huge controls that pretty much suck for anything besides hanging on the prop.