I also really like asymmetrical games. In particular the various Tafl[0] reconstructions. Some are unbalanced, but some are very balanced and fun to play as either attacker or defender. There are various versions with rule variations to accommodate various board sizes too.

I have not played Unlur. Looks like a cool hex variant. I like the initial phase where who plays white is decided. It is a neat way of working that out.

[0]: https://en.wikipedia.org/wiki/Tafl_games