Depending on where I'm going and what the music calls for, here are some of my faves...
If "churchy" then an open F13 with the tonic on topic so F-D-Eb / Eb-A-D-F...the second 13the in the left hand is optional based on organ vs keys or what sound I use.
If going to a major or minor 4 chord, or ending a super contemporary song then I love: F-Eb-F# / A-C-F because its still on the tonic, but a totally different color.
If church and going to 4 chord, then I go augmented too, so F-Eb / A-C#-F, sometimes I alternate that Eb for E too in the left hand.
Also a sound used in my area a ton for churchy (i reference it to Thelonius Monk) but is the flatted fifth...can't do it at every church, but I love it. Its F-Eb / ABDG...may sound weird at first, but my ears dig it. I sub it for the ending of a phrase and a straight tonic...its essentially an F7 chord with a G maj chorde on top.