unflappable (adj.)
- balanced
- bovine
- collected
- composed
- constant
- cool
- dispassionate
- dull
- easy
- even-tempered
- fast
- fiducial
- firm
- fixed
- flinty
- immovable
- impassive
- imperturbable
- inflexible
- loyal
- nonchalant
- patient
- predictable
- relaxed
- reliable
- secure
- set
- settled
- solid
- sound
- stable
- staunch
- steadfast
- steady
- steely
- stoic
- stolid
- substantial
- true
- unbending
- unflinching
- unruffled
- unshakable
- unshaken
- unswerving
- unwavering
- unyielding
- well-balanced