Xbox 360 Games Like Halo 3: Recommendations by Preference

To recommend the best Xbox 360 game for you, I need to know what you enjoy about Halo 3:

If You Like... → Try This:

• Sci-Fi FPS Campaign + Multiplayer: Halo: Reach, Halo 4, Titanfall (movement), Destiny 1/2 (shared world).
• Co-op Campaign (Split-Screen/Online): Gears of War 2/3, Left 4 Dead 1/2, Borderlands 1/2, Resident Evil 5/6.
• Competitive Arena Multiplayer: Call of Duty 4: Modern Warfare, MW2, Black Ops 1/2, Gears of War (execution), Shadowrun (underrated).
• Vehicle/Map Variety (Big Team Battle): Battlefield: Bad Company 2, Battlefield 3, Star Wars Battlefront (2015).
• Story-Rich Sci-Fi Shooter: BioShock, BioShock Infinite, Mass Effect 2/3, Prey (2017), Deus Ex: Human Revolution.
• Something Completely Different: Red Dead Redemption (open west), Batman: Arkham City (action), Forza Horizon (racing), Rock Band 3 (music).

Tell me: Campaign or Multiplayer? Split-screen or Online? Sci-Fi only or open genre? Difficulty preference?