Games like Altered Destiny
Games like Altered Destiny include Samorost 1, I Have No Mouth, and I Must Scream, The Curse of Monkey Island, The Longest Journey, and Half-Life. We matched them by the tags players give Altered Destiny on Steam (Adventure, Point & Click, Surreal, Psychedelic, and Colorful): closest matches first, and among equally close ones the better-known games.

Samorost 1
Shared: Point & Click · Surreal · Psychedelic

I Have No Mouth, and I Must Scream
Shared: Adventure · Point & Click · Retro

The Curse of Monkey Island
Shared: Point & Click · Adventure · Retro

The Longest Journey
Shared: Adventure · Point & Click · Classic

Half-Life
Shared: Classic · Sci-fi · Aliens

The Night of the Rabbit
Shared: Adventure · Point & Click · Fantasy

The Dig®
Shared: Adventure · Point & Click · Classic

Day of the Tentacle Remastered
Shared: Adventure · Point & Click · Classic

Endacopia
Shared: Adventure · Point & Click · Surreal

Grim Fandango Remastered
Shared: Adventure · Point & Click · Classic

The Dark Eye: Memoria
Shared: Adventure · Point & Click · Classic

The Book of Unwritten Tales
Shared: Adventure · Point & Click · Retro

Half-Life: Opposing Force
Shared: Classic · Adventure · Aliens

Hypnospace Outlaw
Shared: Point & Click · Surreal · Retro

A New Beginning: Final Cut
Shared: Adventure · Point & Click · Classic

Chants of Sennaar
Shared: Adventure · Point & Click · Colorful

The Secret of Monkey Island: Special Edition
Shared: Adventure · Point & Click · Classic

Half-Life: Blue Shift
Shared: Aliens · Adventure · Sci-fi

Broken Reality
Shared: Adventure · Surreal · Retro

Lost in Play
Shared: Point & Click · Surreal · Colorful

Indiana Jones® and the Fate of Atlantis™
Shared: Adventure · Point & Click · Classic

STAR WARS™ Knights of the Old Republic™
Shared: Adventure · Sci-fi · Classic

Half-Life 2
Shared: Adventure · Classic · Sci-fi

Sanitarium
Shared: Point & Click · Adventure · Retro