Here are a few games with ‘Fight or Flight’ mechanics for inspiration!

Undertale- A unique RPG where you can choose to either fight monsters or find peaceful solutions to avoid combat entirely

Assassin’s Creed series - While combat is an option, you can often choose to flee across rooftops and blend with crowds

Mirror’s Edge - You play as a parkour runner who can either engage in hand-to-hand combat or use momentum and acrobatics to escape

Outlast- As a journalist with only a camera, you must escape from a psychiatric hospital

Inside- A atmospheric platformer where you’re constantly being pursued and must decide when to hide or run

Subnautica- Underwater exploration with creatures that force players to decide between fleeing or standing their ground.

Little Nightmares - Features a small protagonist who must either sneak past or flee from much larger enemies