North Raleigh (Bedford and Falls River)

[BoBromhal]

AFAIK, when you find the information, all shows are open to the public.

UNC also has a more "regional" theater - Playmaker's
Raleigh has Theater in the Park and NC Theatre, and Memorial Auditorium downtown. Yes, NC State also puts on performances
Durham has DPAC (Durham Performing Arts Center) and Duke

there are numerous concert venues, ranging from small places like Lincoln Theater (maybe 500 people can pack in there) to PNC Arena, which just had the Jonas Bros.

[Heel82]

There’s also Raleigh Little Theatre.