Games like The Mine
Games like The Mine include The House of Da Vinci, Syberia: The World Before, The Room 4: Old Sins, A Plague Tale: Requiem, and The Room. We matched them by the tags players give The Mine on Steam (Adventure, Point & Click, Puzzle, Historical, and Underground): closest matches first, and among equally close ones the better-known games.

The House of Da Vinci
Shared: Puzzle · Point & Click · Adventure

Syberia: The World Before
Shared: Adventure · Point & Click · Puzzle

The Room 4: Old Sins
Shared: Puzzle · Point & Click · Adventure

A Plague Tale: Requiem
Shared: Adventure · Exploration · Third Person

The Room
Shared: Puzzle · Point & Click · Adventure

Boxes: Lost Fragments
Shared: Puzzle · Point & Click · Adventure

Outer Wilds
Shared: Adventure · Exploration · Puzzle

The Room Three
Shared: Adventure · Puzzle · Point & Click

The House of Da Vinci 3
Shared: Point & Click · Puzzle · Adventure

There Is No Game: Wrong Dimension
Shared: Point & Click · Puzzle · Adventure

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

The Room Two
Shared: Puzzle · Point & Click · Adventure

Stray
Shared: Adventure · Exploration · Puzzle

Quern - Undying Thoughts
Shared: Adventure · Puzzle · Exploration

Strange Horticulture
Shared: Puzzle · Point & Click · Mystery

Crushed In Time
Shared: Adventure · Point & Click · Puzzle

The Exit 8
Shared: Puzzle · Exploration · Underground

Murders on the Yangtze River
Shared: Adventure · Puzzle · Exploration

Monument Valley
Shared: Adventure · Puzzle · Exploration

Deponia
Shared: Adventure · Point & Click · Puzzle

Tangle Tower
Shared: Point & Click · Puzzle · Exploration

Amanda the Adventurer 2
Shared: Adventure · Puzzle · Point & Click

Sherlock Holmes: Crimes and Punishments
Shared: Adventure · Puzzle · Mystery

Sherlock Holmes: The Devil's Daughter
Shared: Adventure · Puzzle · Mystery