The Grateful Dead would do this live all the time. They would ALWAYS play certain songs grouped together, such as:
Scarlet Begonias/Fire On The Mountain, (Scarlet Fire)
China Cat Sunflower/I Know You Rider (China Rider)
Me and My Uncle/Mexicalli Blues (Uncle Mex)
Throwin' Stones/Not Fade Away
...to name some and then they usually would play certain songs only for the encore:
Brokedown Palace, Baby Blue, Lovelight, Johnny B Goode, Day Job, etc.
It was so fun to watch all the heads flip out when they would play them in any other order.....as though they couldn't really do what the heck they wanted to do!!! hahahaha