Others have given alternatives, but no one has offered Savage Worlds. It'd probably work great in a cyberpunk setting with magic, and it plays super easy.

You could just run it straight out of the box with the SWADE rulebook, but there're published books (and free homebrews) that go for that feeling as well (like Sprawlrunners).

I can't comment on Into The Odd, but I would consider either The Sprawl or Runners In The Shadows. The former is a general purpose cyberpunk system built on Apocalypse World and the latter is a Shadowrun hack of Blades in the Dark.

And I guess I'd be remiss if I didn't also mention that I've built my own system for my Shadowrun campaigns, called Straylight. I'm in private playtesting right now, and I plan to have the first public playtest draft up very shortly (weeks or days, depending on how things go).

Try Cities Without Number! It's also an OSR game, and is more well-suited for the Sixth World setting.

Shadowrun: Anarchy is rules lite. Apparently a new version is coming this year.

Shadowrun: Anarchy was a rules lite version of Shadowrun. I had to search the name to remember it and apparently 2.0 is kickstarting this year.

Don't know anything about Into the Odd, but I know Blades in the Dark had some people working on a Shadowrun conversion; the heist nature of that game appealed to them. GURPS also handles Shadowrun pretty easily, you can find other people's conversions online.