Every happy kaomoji here has an open mouth and its arms down: 94 faces in eight groups. Tap one and it is copied. Nine need only a keyboard, (^o^) among them.
Read the full guide
Pick a face, tap it
Tap a tile and that face is copied. Groups go by the mouth: a triangle, an upside-down A, a small wa or a wide grin, then round and square mouths. Then come dimples, four with a peace sign, eight without brackets and 23 with a word. Search reads the labels: relieved finds three faces, smug three, birthday two, glasses one.
What the mouths are
▽ is White down-pointing triangle, U+25BD, in 31 faces. ∀ is For all, U+2200, from the Mathematical Operators block, in 17. ヮ is Katakana letter small wa, in 14, and the widest grin, ᗜ, is a Canadian syllabics letter. Wikipedia's List of emoticons files (^o^), (^○^) and (^◇^) under Happy.
Tips
😀 is Grinning face, U+1F600, an emoji by default, so it is not here. Smile emoji has it.
^o^ is the shortest at three keyboard characters. Add brackets and a v for a peace sign: (^o^)v.
For good news after a close call, search relieved. (´▽`) よかった says yokatta, thank goodness.
Questions and answers
What does (^o^) mean?
Happy. Wikipedia's List of emoticons files (^o^) in a row glossed Happy, beside (^○^), (^◇^) and )^o^(. Read the carets as arched eyes and the o as an open mouth. It needs only a keyboard.
How do you type a happy kaomoji on a keyboard?
Open bracket, caret, small letter o, caret, close bracket: (^o^). Use a zero for a taller mouth, (^0^), or a capital D for (^D^). Leave the brackets off for ^o^. The Keyboard only chip shows all nine that need nothing else.
What is the difference between a happy and an excited kaomoji?
On this site a happy face has an open mouth and its arms down. Both arms up makes it excited, a closed mouth makes it a smile, and eyes squeezed shut make it laughing. The split is ours.
What does yatta mean in Japanese?
Wiktionary gives やった, yatta, as hurrah, yay, I made it. Seventeen faces here carry a Japanese word, among them わーい, wāi, yay, and 嬉しい, ureshii, happy or glad. Search japanese to see them all.