Games like Sink
Games like Sink include Baldur's Gate 3, Clair Obscur: Expedition 33, Back to the Dawn, OMORI, and Undertale. We matched them by the tags players give Sink on Steam (RPG, Turn-Based Combat, Linear, Psychological, and CRPG): closest matches first, and among equally close ones the better-known games.

Baldur's Gate 3
Shared: RPG · Turn-Based Combat · Story Rich

Clair Obscur: Expedition 33
Shared: Turn-Based Combat · RPG · Story Rich

Back to the Dawn
Shared: RPG · Story Rich · Pixel Graphics

OMORI
Shared: RPG · Story Rich · Pixel Graphics

Undertale
Shared: Story Rich · RPG · Pixel Graphics

To the Moon
Shared: Story Rich · RPG · Pixel Graphics

Persona 5 Royal
Shared: Turn-Based Combat · RPG · Story Rich

Encased: A Sci-Fi Post-Apocalyptic RPG
Shared: Turn-Based Combat · RPG · CRPG

Warhammer 40,000: Rogue Trader
Shared: RPG · CRPG · Turn-Based Combat

Finding Paradise
Shared: RPG · Story Rich · Pixel Graphics

Disco Elysium - The Final Cut
Shared: RPG · Story Rich · CRPG

Wandering Sword
Shared: RPG · Story Rich · Pixel Graphics

Persona 4 Golden
Shared: Turn-Based Combat · RPG · Story Rich

The Test
Shared: Story Rich · Psychological · Pixel Graphics

Murders on the Yangtze River
Shared: Story Rich · Detective · RPG

OCTOPATH TRAVELER™
Shared: RPG · Turn-Based Combat · Story Rich

The Thaumaturge
Shared: RPG · CRPG · Turn-Based Combat

OneShot
Shared: Story Rich · Pixel Graphics · Indie

Chained Echoes
Shared: RPG · Turn-Based Combat · Pixel Graphics

The World of Kungfu: Dragon and Eagle
Shared: RPG · Turn-Based Combat · Indie

Cassette Beasts
Shared: Turn-Based Combat · RPG · Story Rich

The Nameless: Slay Dragon
Shared: RPG · Turn-Based Combat · Story Rich

FINAL FANTASY X/X-2 HD Remaster
Shared: Turn-Based Combat · RPG · Story Rich