So, I own all-but-one of the PC games with ‘Shadowrun’ in the title and many more games with magic, guns and both in them, but the single most-Shadowrun game I own is Payday 2.
It has no magic, no meta-types, technology is mostly present-day and all the hacking is done by an off-site hacker… yet it’s the most Shadowrun game I own, due to the focus on crime, handling security and civilians and the pre-planning and tactics you can (and must) employ.
Also, if you want to look at Payday 2 as a Shadowrun game, then you can. With Inspire aced/Joker/Partner In Crime you can yell at downed allies to heal them and force cops to fight by your side with boosted stats, that sounds like magic to me.
With Fully Loaded/Ammo Specialist aced you can bring an RPG-7 with 55 rockets. That sounds like a Troll’s carry-cap to me.
With Iron Man/Bulletproof you can weather almost any rain of bullets, that sounds like mil-spec armour+cyberware to me.
Shadowrun: Hong Kong (should have be called ‘the Fortune Engine’)
Watch_Dogs (more for the stealth-combat than the hacking, but the hacking is still relevant)
Saints Row 2 (for a gang-based campaign)
Call of Duty: Black OPs 2 (for a very strong interpretation of Drones/for a military campaign)
Deus Ex: Human Revolution (except, you asked for this)
F.E.A.R (The pointman is a Gun Adept, Paxton Fettel is a possession-tradition mage)
The Hitman: codename 47 franchise
Shadowrun Chronicles: Boston Lockdown (it’s not good, but it does have a lot of Shadowrun fluff)
Agents of Shield
Ghost in the Shell: 1st gig/2nd gig
Night’s Black Agents