I have 19 non-Nraas mods (mostly just small tuning stuff) and 31 Nraas mods so I won't list them all, but here are the ones I'd recommend for the items on your list.
Game Stability
Nraas Overwatch; if you are travelling then also Nraas Traveler; if you are still having problems then also Nraas Error Trap
Mod to Remove ALL Sims from a World
Nraas Master Controller
Supernatural Hybrid Mod (I really want to have my vampires be able to ensorcel people like the Genie can!)
Nraas Hybrid
Is there a Mod that will allow you to sick your dogs on the Paparazzi and robbers? LOL I know, that's probably really reaching but I just thought I'd ask!
I don't know of one, but if you don't like Paparazzi Nraas Register has an option to turn them off
Is anyone familiar with the Monarchy Mod and how it works?
Not me - sorry!
A Mod to get rid of cars?
Shimrod's No Cars mod over at Sims Asylum. You have to create an account to get it. (To get rid of the decorative taxis in Bridgeport you'll also need Nraas Traffic).
A Mod for "cheating" to set Skills.
Nraas Master Controller. You probably need the Cheats add-on.