List of German modal verbs
- dürfen : may
 - können : can
 - wollen : to want
 - sollen : should/expected to
 - müssen : must/have to
 - mögen : to like
 - möchten : would like to
 
möchten and wollen are similar. Wollen sounds more demanding and möchten sounds more polite.1
möchten technically originates from the subjunctive form of mögen