Not to sound rude, but does your agency have a jacket spec?
I have several outwear garments, all department approved:
I have a lightweight windshirt for spring time and summer nights, a heavy jobshirt with patches for fall and wintertime, a heavy black jacket (dept issued old style), a heavy reflective jacket that makes me visible from 2 miles away (dept issued new jacket).
One thing I want to stress: I have work jackets, and non-work jackets. I don't wear my work jackets when I am not going to work, at work, or coming home from work, and I don't wear my non-work jackets when I'm not working.
The only exception to this is my FD jacket, which is super warm, department speced but not uniform.
Go to your local uniform store, they can provide you with many different types that you can try on for size and style. But make sure it is approved by your agency's management, otherwise you can spend $100-300 on a jacket that you aren't permitted to wear while at work