I'm a really cautious person and it even shows in my chuunibyou powers. I don't feel like listing them all, but half of all the abilities I ever gave myself were defensive abilities. Some examples are mental resistances, pain nullification, protecting my soul, prevention of body snatching or possession, protection against impregnation/rape, anti-slave magic, etc. Any and all horrible things my mind could imagine would spawn some kind of defensive ability that negates it. I also gave myself many psychological protection abilities so that I wouldn't go crazy and destroy myself from power abuse. I assumed that having too much power without the proper controls would lead me to quickly implode.
The non-defensive abilities are listed below. While reading them try and think about how many of them would be lonely loner friendly.
Mental fortress - I wish that my brain was similar to a computer and that I could store, and edit memories and information.
Metamorphosis - I'm never completely satisfied with myself, so it would be nice to have the freedom to change myself to my liking whenever I desire.
Parallel thinking - Like having multiple brains capable of thinking different things at the same time but they are all connected together and synchronize incoming information into my brain. This is not super-intelligence, since I'm actually afraid of how super-intelligence would change me in a drastic, sudden, and possibly uncontrollable way.
Multiple bodies - This pairs nicely with parallel thinking. I could play pretend that all my bodies are actually different people or like siblings or lovers or friends to my heart's content. Tea party of one.
Multiple servants - When I get tired of playing pretend with myself to address my crushing loneliness I might opt for having other people do it for me.
Material synthesis - I always wanted to be able to synthesize objects and materials. That way I could effectively create anything that I have an understanding of. (Pairs nicely with mental fortress to design and create objects)
Magic spell engineering - I wish that it was possible to understand magic to a certain degree and that after studying I could apply physics, engineering, mathematics, those kinds of concepts to magic. In that sense magic becomes an acquired skill rather than an innate talent. It feels more fair and opens many new possibilities that don't rely on luck or being born with talent.
Scrying and clairvoyance - I always imagined laying down comfortably in a luxurious bed or some dark, stone dungeon and yet still inspecting the world out of curiosity. Rather than seeing into the future I would prefer to see only the past and present. I hope I don't turn into a stalker.
Regeneration - How much would it suck if my arm got sliced off and I couldn't regrow it instantly like a badass? Terrible. Monsters that regenerate are like def tots da'bomb!
Soul inscription - Sometimes I just assume that I am going to die in another world. So before I die I want to store some information and powers by writing them directly onto my soul (which is completely defended by all my defensive abilities). Everybody needs a backup plan.
Flying fortress, castle in the sky, dungeon - I'm such loner that I know if I was powerful enough I would forsake humanity and run away to live alone in the mountains, or in some deep, dark cavern. After a while I'd start to get bored with the natural scenery and start making a house, tower, castle, dungeon, or monument. After an even longer time I would get the desire to travel or move. So I decided that I might as well have some kind of moving/floating/flying island so that I wouldn't have to leave my little paradise and all that hard work I put into it. I really like architecture. The idea of being able to leave behind monuments and fortress ruins that other people would stumble upon and explore seems interesting.
Teleportation - obvious
Able to survive in space - obvious
Power of darkness - obvious
Contradictory and opposing elements - give an evil dragon chuuni version holy magic, give a holy beast chuuni version darkness magic, or both.