El Capitan Theater, Los Angeles
This is going to be an odd suggestion since I have never been inside the El Capitan Theatre. My daughter has been several times. I hear it is a wonderful theatre, beautifully decorated inside. The seats are especially comfortable. Disney owns this theatre so more than likely you will end up seeing a Disney movie if you go there. It's right across the street from the Kodak Theatre on Hollywood Blvd.
The El Capitan Theater was opened in 1926, one of three theatres developed by Charles Toberman in conjunction with Sid Grauman (the other two being the Egyptian and the famous Chinese theatre) in what was at the time a thriving entertainment district. It was used as a live theatre in the 1920s and 1930s, changed over to a movie theater in the 1940s and renamed the Hollywood Paramount.
Unfortunately I didn't get to see the interior of this theatre, it has been restored by the Disney company and was reopened in 1991 as a movie theater which also holds special events on occasion so you have to buy a ticket to see the interior.
Located at 6838 Hollywood Blvd.
For some more photos, see the travelogue