I was in England and I heard that some people use word "will" as non auxiliary verb, in meaning "wish". Have I misheard? If it is true, in which cases can I use "will" as non auxiliary verb?
Will has two distinct meanings as a transitive (non-modal, non-auxiliary) verb. The Merriam-Webster Dictionary lists one, but not the other. I found the other in the British version of Cambridge Dictionaries Online (http://dictionary.cambridge.org/us/dictionary/british/will_10), although from my experience the meaning is as common in American English as in British English. Here is the dictionary's definition:
will verb (MAKE HAPPEN) /wɪl/ › [+ obj + to infinitive ] If you will something to happen , you try to make it happen by the power of your thoughts : She willed her self to remember his name .
› [I or T] formal to want something: Stay or go, as you will.
These are the two meanings in which you can use 'will' as a non-auxiliary verb (the second use being the same one as mentioned in the Merriam-Webster Dictionary).
Merriam-Webster has it as the first-mentioned use:
transitive verb : desire, wish
That said, it is obviously most often used as an auxiliary verb.