Reprise! Broadway’s Best will stage works by Gershwin, Sondheim and Richard Rodgers in its 10th season.Company, which produces musicals at UCLA’s Freud Playhouse, will open with “My One and Only” (Sept. 5-17), followed by “Sunday in the Park With George” (Jan. 30-Feb. 11) and “No Strings” (May 8-20). Season is the first under producing director Jim Gardia, who had been managing director since 2002. The Gershwins’ “My One and Only” will be directed and choreographed by Dan Mojica. Cast and credits for the plays are to be announced.