The 13th chord is very common in gospel music. It is the chord typically played on the bvii. For example, in the key of Ab, it would be the chord played on Gb(or F#). As was already stated, it can be heard on a lot of Hezekiah Walker songs, like
"I'll Make It".
The 11th chord is a little less common, but it can still be heard in songs with jazzy musicians. That chord is frequently used with a #11... that is, the 11th tone is raised a half-step. This is typically done to avoid clashing with the 3rd. I most often hear the 11th chord used for the ii or the IV in a chord progression. cas10a mentioned a good example with "Jesus is Real", the 11th chord is heard right in the intro. Another good example would be "Running Back to You" by Commissioned (Also covered by Ruben Studdard). It can be heard near the end of the verse, right before the chorus. It is also the final chord heard in "Glorious" by Martha Munizzi.