Hm... I never really analysed the 52-game campaign I ran, or the short campaigns for Open Events...
I guess one of the types I run can be described as 'The Hunt': Do legwork to figure out what's going on exactly, more legwork en-scene to track down the target, then take them down. Could be a Yakuza they must hunt down before HTR manages (they technically beat HTR by 6 seconds, so they made the J pay them), Wendigo causing trouble in the OU, a Toxic taking over some harvesting grounds in the Plastic Jungle, the Cyber Zombies that went with their Doctor into the ARCE basements and actually turned out to be Shedim, the criminals kidnapping Deckers everywhere, the runners that kidnapped a Johnson's daughter...
And of course 'The Smackdown', where you know in advance where you're going and simply go about figuring out how to kick their asses: A Vory boss inside his Mansion's basement (~18 Initiative Scores for ~36 individuals spread out over Matrix and Physical...), a Bug Hive (with Line-of-Sight Maptool map and several tricks and ambushes), a Humanis compound in the Barrens...
I could grab the list of runs I did for the campaign in SR5 and do a full analysis, but these are the more spectacular ones (asides from 'The Ambush', where you go in for a job and things go south during the meet, cue 'you run outside for a quick pickup? Okay roll Perception-3', 'okay that's 0 dice', 'phew').
I don't offer multiple runs btw, they simply got offers through their contacts that fit their style and often fit the red storyline.