Maybe "buzzed". That's what we always would use around here. "I'm not drunk yet, but I sure am buzzed."
I am sure this sort of word changes from place to place.
You could use mellow also, although people are sometimes mellow without drinking at all. Tipsy is commonly used, and almost always implies alcohol use.
Sí, pero se usa como eufemismo. Como dice kim63, se puede ser o estar "mellow" (relajado, de carácter suave) sin beber.Could we use "mellow", in this context?