They are very different types of game. Anarchy isn’t just a more rules-light version of SR, or at least isn’t written that way (may be able to play it that way?) It is designed as cooperative story telling game, with everyone (players and GM) taking turns at defining what happens.
Maybe easier to show than tell? Below I imagine how things might play out with a GM and players Andrew, Beth, and Carlos (their characters are conveniently also A, B, and C names). The party has just bypassed a lock to get into the lab where they expect to find the McGuffin. The games might go something like this:
SR:
GM: OK, it is dark in here – you cut the power and there are no emergency lights inside. Everyone give me a perception role of some sort, and let me know what you are using – low light, thermal, listening, whatever. Then roll initiative, just in case *evil chuckle*
Players: (make rolls, announce results)
GM: OK, the lab looks empty, but you Blue Lynx notices one matrix signature nearby, and it seems to be labelled as “emergency lab cleansing device”
Beth: Blue Lynx fires an ARO to the team as her free action – her matrix initiative is 19 – then she’ll use sleaze to get a mark on the device (dice are rolled)
Andrew: Arconos goes on 25, but he won’t do anything until he gets that warning, then he’ll …(and on things go)
Anarchy:
(the last person to narrate was Andrew, so it passes to his left to Beth, and then will move to Carlos)
Beth: At first the room seems dark, then our eyes adapt to the ghostly glow from control panels that are still lit up. My character Blue Lynx starts checking for matrix activity from the room, then screams out “Defense drones are activating!” She desperately tries to disable the buzz-saw on wheels that comes zooming towards the group to attack her” (rolls some dice and has terrible luck) “Looks like it is time for a defense roll, and my armor was already all used up.”
Andrew (out of order): “I’ll use a plot point to take the hit for Blue Lynx. Arcanos leaps in front of her, magical defenses flickering around him” (rolls dice, resolves damage)
Carlos: “As the team scatters to cover, Cargill roars his battle cry and his Ares Alpha, blasting drones to shreds! With his heightened reflexes he gets two actions, so he shoots first Buzzy the buzzsaw drone and then the, ummm, anthro drone that has stepped out from its charging station, and is leveling its shotgun at the team”
GM: “OK, I’m going to use a plot point here, as you are about to shoot the anthro drone, you notice that its chest is covered with the symbol for ‘danger – explosive.’”
Carlos: “Aw, drek, OK, I’m going to use my last plot point to make an aimed shot to blast the shotgun without hitting the drone.” (rolls various dice, effects are figured.
GM: My turn! OK, so equipment is waking up all over the lab, flashing lights, moving, making it really confusing to figure out what is a danger or not, so… (and on things go)…