Games like Desktop Havoc
Games like Desktop Havoc include People Playground, Goat Simulator, Garry's Mod, Totally Accurate Battle Simulator, and Turbo Dismount™. We matched them by the tags players give Desktop Havoc on Steam (Destruction, Sandbox, Physics, Desktop Companion, and Casual): closest matches first, and among equally close ones the better-known games.

People Playground
Shared: Sandbox · Physics · Destruction

Goat Simulator
Shared: Sandbox · Funny · Destruction

Garry's Mod
Shared: Sandbox · Physics · Funny

Totally Accurate Battle Simulator
Shared: Sandbox · Physics · Funny

Turbo Dismount™
Shared: Destruction · Physics · Funny

Teardown
Shared: Destruction · Sandbox · Physics

Brick Rigs
Shared: Destruction · Sandbox · Physics

Kill It With Fire
Shared: Destruction · Action · Physics

Just Cause™ 3
Shared: Destruction · Action · Sandbox

Human Fall Flat
Shared: Physics · Funny · Sandbox

Fun with Ragdolls: The Game
Shared: Sandbox · Physics · Funny

Just Cause 4 Reloaded
Shared: Destruction · Sandbox · Action

Gang Beasts
Shared: Physics · Funny · Casual

BeamNG.drive
Shared: Physics · Destruction · Sandbox

Fireworks Mania - An Explosive Simulator
Shared: Sandbox · Physics · Funny

Forts
Shared: Destruction · Physics · Sandbox

Wreckfest
Shared: Destruction · Physics · Action

Wobbledogs
Shared: Sandbox · Funny · Physics

Happy Wheels
Shared: Sandbox · Physics · Funny

Bongo Cat
Shared: Desktop Companion · Casual · 2D

Banana
Shared: Casual · Funny · 2D

Kill It With Fire: Ignition
Shared: Sandbox · Funny · Physics

Hot Dogs, Horseshoes & Hand Grenades
Shared: Sandbox · Physics · Funny

Slime Rancher
Shared: Sandbox · Funny · Casual