There are many spells in the harry potter world. From darkest killing curse to the lightest and simple levitating charms. Goto Mugglenet.com and search for the entire list of spells from their website.
But make sure that not all spells have a particular name and not all spells have their incantation written down in the series, they are only mentioned in it.
Hope this answer your question.
There are also different types of spells such as charms 'Aguamenti', defensive spells such as 'Protego' and offensive spells such as 'Petrificus Totallus'.