annoy, irritate, vex, make angry, make cross, anger, exasperate, irk, gall, pique, put out, displease, antagonize, get on someone's nerves, rub up the wrong way, ruffle, ruffle someone's feathers, make someone's hackles rise, raise someone's hackles;

enrage, infuriate, madden, make someone's blood boil, drive to distraction, goad, provoke

informal aggravate, peeve, hassle, miff, rile, nettle, needle, get, get to, bug, hack off, get under someone's skin, get in someone's hair, get up someone's nose, put someone's nose out of joint, get someone's goat, give someone the hump, rattle someone's cage, drive mad/crazy, drive round the bend/twist, drive up the wall, make someone see red

British informal wind up, nark, get across, get on someone's wick

North American informal tee off, tick off, burn up, rankle, ride, gravel

vulgar slang piss off

British vulgar slang get on someone's tits

informal, dated give someone the pip, get someone's dander up

rare exacerbate, hump, rasp