Games like Shivering Hearts
Games like Shivering Hearts include I Wani Hug that Gator!, Vampires' Melody, LoveChoice, Florence, and Far Away. We matched them by the tags players give Shivering Hearts on Steam (Choose Your Own Adventure, CRPG, JRPG, Casual, and Interactive Fiction): closest matches first, and among equally close ones the better-known games.

I Wani Hug that Gator!
Shared: Choose Your Own Adventure · Visual Novel · Interactive Fiction

Vampires' Melody
Shared: Casual · Visual Novel · Interactive Fiction

LoveChoice
Shared: Visual Novel · Romance · Cute

Florence
Shared: Casual · Cute · Interactive Fiction

Far Away
Shared: Visual Novel · Choose Your Own Adventure · Cute

Slay the Princess — The Pristine Cut
Shared: Choose Your Own Adventure · Visual Novel · Interactive Fiction

Refind Self: The Personality Test Game
Shared: Interactive Fiction · Visual Novel · Choose Your Own Adventure

Endless Monday: Dreams and Deadlines
Shared: Choose Your Own Adventure · Visual Novel · Interactive Fiction

Doki Doki Literature Club Plus!
Shared: Visual Novel · Cute · Romance

Our Life: Beginnings & Always
Shared: Visual Novel · Choose Your Own Adventure · Romance

ATRI -My Dear Moments-
Shared: Visual Novel · Casual · Cute

The Hungry Lamb: Traveling in the Late Ming Dynasty
Shared: Visual Novel · Interactive Fiction · Story Rich

The Henry Stickmin Collection
Shared: Choose Your Own Adventure · Funny · 2D

Noctuary
Shared: Interactive Fiction · JRPG · Cute

Suzerain
Shared: Choose Your Own Adventure · Visual Novel · Interactive Fiction

Love, Money, Rock'n'Roll
Shared: Visual Novel · Choose Your Own Adventure · Romance

Coffee Talk
Shared: Visual Novel · Interactive Fiction · Casual

The NOexistenceN of you AND me
Shared: Visual Novel · Interactive Fiction · Cute

Until Then
Shared: Visual Novel · Interactive Fiction · 2D

Senren * Banka
Shared: Visual Novel · Casual · Cute

Dispatch
Shared: Choose Your Own Adventure · Story Rich · Choices Matter

A Sky Full of Stars 仰望夜空的星辰
Shared: Choose Your Own Adventure · Visual Novel · Cute

Lucy -The Eternity She Wished For-
Shared: Visual Novel · Cute · Story Rich

Otaku's Adventure
Shared: Visual Novel · Funny · Cute