While the game does state that the player isn't allowed to do much as mayor, I think it would be nice to have some powers. Something to shape the laws of the city/country to the player's liking. For example :

- Allow multiple marriage
Self-explanatory, and something a lot of players would like to see.

- Allow same-sex marriage
While marriage is meant for reproduction, players just want to marry whoever they want, ok?

- Allow/disallow incest
It seems to be allowed by default. I'm sure some people would rather go without.

- Allow/disallow certain classes
You could make, for example, the Soul Eater or Necromancer classes, or find new classes. Some people might be favorable to that.

- Improve imports
After a quest and an investment, allows the city's shops to carry rare materials not obtainable otherwise; or unlock a bi-weekly rare material trader.

- Criminalize predatory lending
Let the banks no longer take advantage of poor, naive protagonists!

- Unlock new dungeons
Allow the player access to dungeons with more powerful enemies, or rarer materials.

- Open borders
Adds more races to those available at the slave market, and to recruit at the guilds.

- Sponsor academic studies
Unlock new high level crafts.

- Pardon for Anastasia and Aire
Make them free people again. And Daisy too.

- Make torture illegal
You lose the ability to abuse slaves, but there's definitely people who would agree to it; and some who would disagree.

- Other slave interaction laws
Make rape illegal, make forced impregnation illegal, make mind control illegal. Or make it legal for the mayor to take anyone as a slave.

- Evict a neighbor
Eminent domain means you can expand the mansion further!

Alright, that was a bit of a wall of text. Hopefully something like that would improve the game without being too much of a bother.