I usually dont self-insert as the protagonist in the games so it can add some interesting spins to the whole corruption genre for me, but I can see if it bothers some people. Other than that it is a kink like any other.
Growing up with the Batman and Superman movies and the animated series I always preferred DC, but the MCU output was way better than any DC movie in recent years.
Strictly speaking about the female superheroes I definitely have to go with DC.
Ah, that really took me down the old anime opening/ending rabbid hole. I really liked the music from Gankutsuou, especially the difference in tone of the opening and ending:
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I usually stick with the default name and it annoys me if none is provided. If I have to chose one, I try to take one that fits into the setting of the game.
I think I first dabbled with something like Leasure Suit Larry that I found installed on an old PC of my uncle, but the first thing I consciously played (and downloaded) was one of the darker (=cooler looking) games from the old translated VNs like Dividead or Bible Black.