Games like Shogi
Games like Shogi include Rento Fortune: Online Dice Board Game (大富翁), Plague Inc: Evolved, Richman 11, Bloons TD 6, and UNO. We matched them by the tags players give Shogi on Steam (Casual, Strategy, Board Game, Turn-Based Tactics, and 2D): closest matches first, and among equally close ones the better-known games.

Rento Fortune: Online Dice Board Game (大富翁)
Shared: Casual · Board Game · Strategy

Plague Inc: Evolved
Shared: Strategy · Casual · Tactical

Richman 11
Shared: Casual · Board Game · Turn-Based Tactics

Bloons TD 6
Shared: Strategy · Casual · 2D

UNO
Shared: Casual · Board Game · Strategy

Plants vs. Zombies GOTY Edition
Shared: Strategy · Casual · 2D

Richman10
Shared: Casual · Strategy · Board Game

BidKing
Shared: Casual · Strategy · Artificial Intelligence

Dorfromantik
Shared: Casual · Board Game · Strategy

Kingdom Rush - Tower Defense
Shared: Strategy · Casual · 2D

Hexcells
Shared: Casual · Strategy · Minimalist

100% Orange Juice
Shared: Board Game · Strategy · Casual

Zup! S
Shared: Casual · 2D · Minimalist

ShellShock Live
Shared: Strategy · 2D · Casual

Blood Bowl 2: Legendary Edition (Classic)
Shared: Strategy · Board Game · Tactical

Clue/Cluedo: Classic Edition
Shared: Board Game · Strategy · Casual

Texas Hold'em Poker: Pokerist
Shared: Casual · Turn-Based Tactics · Board Game

No Time to Relax
Shared: Board Game · Casual · Strategy

Mini Metro
Shared: Strategy · Minimalist · Casual

Hexcells Infinite
Shared: Casual · Strategy · Minimalist

Nodebuster
Shared: Casual · Strategy · 2D

XCOM 2
Shared: Strategy · Turn-Based Tactics · Tactical

Town of Salem
Shared: Strategy · Casual · 2D

Kingdom Rush Origins - Tower Defense
Shared: Strategy · Casual · 2D