The Liberty Theatre opened in 1917 in Fresno, CA. It became the Hardy's Theatre in the 1930's, and at some point became the Mexico Theatre. It's now a church, but the original Liberty Theatre sign can still be seen towards the top.
The Mission Theater opened in 1910, and closed in 1993. I'm not sure at what point it became the "New" Mission Theater. As of 2012, there are plans to restore the building and start showing movies again.