You will like this one
The word like is not a modal. Full stop.
So why do I mention it here? Well, basically because this internet site was designed with a German language learner in mind, and
the German equivalent (mögen) is clearly a modal. The English like, on the other hand, is nothing but a regular
full verb. No exceptions, no problems, nothing to learn.
You'd better hurry right back to the modals table.