besotted, blasted(slang), blind, blitzed(slang), blotto(slang), bombed, canned(slang), cockeyed, crocked, drunk, drunken, fried, gassed, hammered(slang), high, impaired, inebriate, inebriated, intoxicated, juiced(slang), lit, lit up, loaded(slang), looped, oiled(slang), pickled, pie-eyed, plastered, potted(slang), ripped(slang), sloshed(slang), smashed(slang), sottish, soused, sozzled, squiffed(or squiffy), stewed, stiff, stinking(slang), stoned, tanked(slang), tiddly(chiefly British), tight, tipsy, wasted(slang), wet, wiped out(slang)

maudlinbeerybefuddled, bleary-eyed, crapulous, dopey(also dopy), rocky, strung out, stupefieddebauched, dissipated, dissolutealcoholic, bibulous, dipsomaniacal

in one's cups, in the bag(slang), three sheets in the wind(or three sheets to the wind), under the influence, under the weather