Games like Ann's Parlor
Games like Ann's Parlor include The Cosmic Wheel Sisterhood, Mirror 2: Project X, No Case Should Remain Unsolved, Sanfu, and Florence. We matched them by the tags players give Ann's Parlor on Steam (Interactive Fiction, Magic, Casual, Detective, and Puzzle): closest matches first, and among equally close ones the better-known games.

The Cosmic Wheel Sisterhood
Shared: Magic · Interactive Fiction · Female Protagonist

Mirror 2: Project X
Shared: Interactive Fiction · Female Protagonist · Casual

No Case Should Remain Unsolved
Shared: Interactive Fiction · Puzzle · Story Rich

Sanfu
Shared: Puzzle · RPG · Story Rich

Florence
Shared: Casual · Interactive Fiction · Story Rich

Assemble with Care
Shared: Casual · Puzzle · Female Protagonist

Danganronpa V3: Killing Harmony
Shared: Detective · Female Protagonist · Story Rich

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

Her Story
Shared: Interactive Fiction · Detective · Puzzle

Hogwarts Legacy
Shared: Magic · RPG · Story Rich

The Mermaid Mask
Shared: Detective · Interactive Fiction · Puzzle

Phoenix Wright: Ace Attorney Trilogy
Shared: Detective · Story Rich · Puzzle

Return of the Obra Dinn
Shared: Detective · Puzzle · Story Rich

Trials of Innocence
Shared: Interactive Fiction · Detective · Story Rich

Unheard - Voices of Crime
Shared: Detective · Puzzle · Story Rich

Tyrion Cuthbert: Attorney of the Arcane
Shared: Magic · Detective · Casual

Gorogoa
Shared: Puzzle · Casual · Hand-drawn

Murder by Numbers
Shared: Interactive Fiction · Puzzle · Female Protagonist

Roadwarden
Shared: Interactive Fiction · Text-Based · RPG

Carto
Shared: Puzzle · Story Rich · Female Protagonist

Cyber Manhunt
Shared: Puzzle · Detective · RPG

Coffee Talk
Shared: Interactive Fiction · Dialogue Heavy · Casual

Puzzle Agent
Shared: Casual · Interactive Fiction · Puzzle

The Life and Suffering of Sir Brante
Shared: Interactive Fiction · Story Rich · RPG