I think it might have even been more common that they've showed us stuff that happened on the day of the eviction but before the live show even started. One instance that comes to my mind was season 21 when the pre-show feed got leaked online and Julie told people that they don't have any idea who's going to be evicted. So we had flashbacks for that.
I don't think there has been much that happened during the show but only made the Sunday show. There are only like three minutes or so during Julie's eviction interview when interesting stuff could happen that they couldn't have shown on the live show itself. If they were able to show it, they've shown it during the live broadcast and then just recapped it on Sunday's episode, e.g. Rockstar's daughter's birthday played out live on the show and then was only part of the recap.