Happniess is seen as one of the few only positive emotions. The rest of the emotions, hate, anger, sorrow, etc are seen as negitive. Everyone wants to be happy and they connect happiness to having a good life.
I think you are mistaken.
Putting all positive emotions into "being happy" is the same as putting all negative ones into "feeling bad".
here are some different good emotions:
excitement, being amused/entertained, feeling comfortable, feeling proud of something, nostalgia, relief
I still think that those other feelings are being happy. I think that they're not emotions as such, but rather events that can cause an emotion, except exceitment and relief (Which are the emotion happy). I take being amused/entertained as an event, you are entertained, and you become happy. You feel nostalgic, you become happy. You feel pride, you become happy. They're events, just as falling in love is an event, you can fall in love, you can get comfortable, you can be entertained, you can get nostalgic.
With excitement, it comes under the catergory of happiness, you can't feel sad when excited you can't feel anger when excited. Though excitement is a bit hard to label, considering the fact it has two definitions. There's the anger definition, "Don't get excited." and the happy definition, "I'm so excited!". Such as the same with relief. With pride, I haven't thought about pride, it's a bit of a grey area.
I am no master in emotions, but because I have Aspergers Syndrome, I've had an outside diffrent persepctive on emotions, instead of feeling and expressing them, I have mostly observed and identified them. I am a bit foreign to the emotions, but I have thought about them quite a lot.
I could be mistaken, it's good to have something to rebutt on this discussion.