Though Weekend Update has been the linchpin of SNL for most of its run, it has been since 2000 that it's had its most successful (and longest) stretch. It began with Tina Fey and Jimmy Fallon replacing the brusque Colin Quinn (who replaced the way too deadpan Norm Macdonald), totally rejuvenating the bit. When Fallon left, he handed off to Amy Poehler, who was arguably even more popular. When Fey left, Seth Meyers seamlessly filled in, and then finally flew solo. Meyers could sometimes seem adrift solo, but it was still a 13-year stretch with a lot of continuity.
Poehler came back for Meyers' swan song, for a reprise of their popular bit, Really!?! With Seth & Amy.
And Meyers put a button on a long-running bit with the Bill Hader (who is also leaving SNL) "Stefan" character. It was one of a series of gay-related skits in the Ben Affleck-hosted finale, a subject Meyers is often criticized for using gratuitously. These were mostly benign and funny though, I have to admit.