I like my Nike Air Zoom Vapor's. I tried on a bunch at a tennis store and these were the most comfortable for me .

I like Adidas or Asics for tennis but you should try a few on - I find that fit/comfort varies a lot even within a brand.

I have a pair similar to these. I've found Asics are the best for me for either running or tennis. I have narrow feet and they provide great arch support. I play on clay in the summer and hard courts during the winter.
https://www.tennisexpress.com/asics-womens-gel-challenger-11-tennis-shoes-electric-blue-and-white-66279

I am relatively new to tennis (3 years) and I've only owned one pair of tennis shoes. They are so hard, stiff and uncomfortable. I was told they would get better with time, but that hasn't been the case. I really love On Cloud shoes, but they are not allowed on the courts. I play on har tru in summer and I also play indoors in winter. I have narrow feet. Any recommendations for a lightweight shoe that won't feel so stiff? Are all tennis shoes like that?