General Cheerfulness:
* Happy
* Joyful
* Merry
* Lighthearted
* Bright
* Optimistic
* Upbeat
* Buoyant
* Ebullient
* Glad
* Delighted
More Energetic:
* Vivacious
* Spirited
* Lively
* Animated
* Enthusiastic
* Exuberant
More Relaxed:
* Content
* Pleased
* Serene
* Tranquil
* Peaceful
Formal:
* Blithe
* Sanguine
* Jovial
Figurative:
* Radiating joy
* Beaming with happiness
* Full of life
Opposite of Cheerful:
* Sad
* Depressed
* Gloomy
* Melancholy
* Downcast
* Dismal
The best synonym for "cheerful" will depend on the specific context in which you are using it.