Games like Cursed House 16
Games like Cursed House 16 include Firework, Sally Face - Episode One, Zuma Deluxe, Pony Island, and LIMBO. We matched them by the tags players give Cursed House 16 on Steam (Casual, Puzzle, Match 3, Sokoban, and Horror): closest matches first, and among equally close ones the better-known games.

Firework
Shared: Puzzle · Horror · 2D

Sally Face - Episode One
Shared: Puzzle · Horror · Indie

Zuma Deluxe
Shared: Puzzle · Match 3 · Casual

Pony Island
Shared: Puzzle · Horror · Demons

LIMBO
Shared: Puzzle · Indie · Horror

Bejeweled® 3
Shared: Casual · Puzzle · Match 3

Poppy Playtime
Shared: Puzzle · Horror · Dark

Zup! S
Shared: Casual · Puzzle · 2D

Baba Is You
Shared: Puzzle · Sokoban · Indie

Zuma's Revenge!
Shared: Casual · Puzzle · Match 3

Dorfromantik
Shared: Puzzle · Casual · City Builder

Patrick's Parabox
Shared: Puzzle · Sokoban · Casual

10,000,000
Shared: Match 3 · Puzzle · Casual

Paper Bride
Shared: Puzzle · Horror · Casual

Scribblenauts Unlimited
Shared: Casual · Puzzle · 2D

Peggle Deluxe
Shared: Casual · Puzzle · 2D

Little Nightmares II
Shared: Puzzle · Horror · Dark

Phasmophobia
Shared: Horror · Supernatural · Demons

DISTRAINT: Deluxe Edition
Shared: Horror · Indie · 2D

Hook
Shared: Casual · Puzzle · 2D

Zup! F
Shared: Casual · Puzzle · 2D

PuzzleQuest: Challenge of the Warlords
Shared: Puzzle · Casual · Match 3

Zup! 2
Shared: Casual · Puzzle · 2D

Little Nightmares
Shared: Horror · Puzzle · Dark