Games like Polda 5.5
Games like Polda 5.5 include There Is No Game: Wrong Dimension, Storyteller, Gorogoa, Machinarium, and Return to Monkey Island. We matched them by the tags players give Polda 5.5 on Steam (Adventure, Casual, Point & Click, Puzzle, and Interactive Fiction): closest matches first, and among equally close ones the better-known games.

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

Storyteller
Shared: Point & Click · Puzzle · Adventure

Gorogoa
Shared: Puzzle · Casual · Point & Click

Machinarium
Shared: Point & Click · Puzzle · Adventure

Return to Monkey Island
Shared: Adventure · Point & Click · Puzzle

Old Man's Journey
Shared: Adventure · Casual · Puzzle

Unforeseen Incidents
Shared: Adventure · Point & Click · Puzzle

LUNA The Shadow Dust
Shared: Adventure · Casual · Point & Click

Deponia
Shared: Adventure · Point & Click · Puzzle

Hidden Folks
Shared: Casual · Puzzle · Point & Click

Neighbours back From Hell
Shared: Point & Click · Puzzle · Adventure

CHUCHEL
Shared: Casual · Point & Click · Cartoon

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

No Case Should Remain Unsolved
Shared: Puzzle · Point & Click · Interactive Fiction

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

Polda 7
Shared: Adventure · Point & Click · Choose Your Own Adventure

The Many Pieces of Mr. Coo
Shared: Adventure · Point & Click · Puzzle

The Mermaid Mask
Shared: Adventure · Point & Click · Puzzle

Puzzle Agent
Shared: Casual · Point & Click · Puzzle

Samorost 1
Shared: Point & Click · Casual · Puzzle

The Room
Shared: Puzzle · Point & Click · Adventure

Tukoni: Forest Keepers
Shared: Adventure · Casual · Point & Click

Unboxing the Cryptic Killer
Shared: Puzzle · Adventure · Point & Click

Labyrinth City: Pierre the Maze Detective
Shared: Adventure · Casual · Puzzle