How do you call "get drunk" and a person who drinks a great deal in your country including slangs?
I´ve already seen it in the dictionary but I´m not so sure if the words that I´d found are currently used.
The process of getting drunk can be described by...
...he/she is getting
inebriated (not really slang)
and many other terms can be used and understood as long as the context is given.
Someone who drinks excessively may be a drunkard, inebriate, a drunk, or perhaps an alcoholic. However, "alcoholic" does tend to imply (more) that the person has a serious problem with alcohol consumption.
Someone who drinks a lot