Modal verbs indicate how an action is performed: compulsory, voluntary, permitted, etc. Technically, not all verbs below are modal verbs, but this is a linguistic issue that you should not be bothered with.
blijven | to stay, keep | hij blijft zich afvragen | he keeps wondering
gaan | to go | hij gaat een stukje lopen | he goes for a little walk
komen | to come | hij komt vanavond eten | he comes for diner tonight
kunnen | to be able | zij kunnen niet zingen | they cannot sing
moeten | to have to | zij moet haar huiswerk doen | she has to do her homework
mogen | to be allowed | ik mag niet zingen | I am not allowed to sing
willen | to want | wij willen hier blijven | we want to stay here
zullen | 'to' will | jij zult lekker slapen | you will sleep well
_Komen_ is also mentioned in the list of auxiliary verbs that are followed by [te + infinitive](#/lesson/Verbs.Au12). However, note the semantic difference: he verb _komen_ without _te_ just means _to come_ in a literal sense, while _komen te_ means _to be about to_ (happen).