Mindless games
Counting sheep as a concept for relaxation never worked for me because a numeric inventory feels to my brain like a serious task. One “game” I have used with zero stakes (to me) was just coming up with strings of words:
Sassafras
Xylophone
Arrivederci
Bottleneck
Unlimited
Harpsichord
Huntress Wizard
Salivary
Onomatopoeia
Perspicacious
Breathe
Ferry
Merry
Etc.