Um guia para quem estuda Inglês Online
'You drink more beer than me' is correct and good English. Only a minority of people say 'than I', and to the rest of us it sounds stilted and old-fashioned. Teachers used to try to get people to say 'than I', for no good grammatical reason. I would recommend you say 'than me', and avoid 'than I'. You will sound a lot more natural. This is different from 'than I do', which is also correct - here 'I' is subject of a verb, not object of a preposition, so 'me' is not possible.'