Currently starting up a new SR game somewhere in the 4th/5th edition time line. We've played on and off for twenty years and have largely stayed within the main setting's continuity. While we haven't had consistent games, we've been doing the game long enough to have older characters that established reps of their own that later characters heard about.
We wanted to try something a little different and redo some of the setting. As in, take a couple of older characters that were played out and change them around. A mage becomes an adept, an elf becomes an ork, etc, and start fresh. Doing the same thing with the setting and making some changes. Basically a Marvel's "What if..." . For example, Kenneth Brackhaven had a change of heart when his true background was revealed in the Super Tuesday series. He went all in, supported MOM and ORC, and eventually had work done to become an ork.
After the Seattle arcology debacle, when it went up for sale, instead of becoming the ACHE, S-K bought it.
Looking for more ideas, generally Seattle based, around the '60-70s timeline for interesting shifts.
For this game is less about the actual runs themselves, more about the role playing, since they've already done plenty of roll playing with these characters.