WordNet sense 1 (accept as a challenge):

tackle, undertake

WordNet sense 2 (take on titles, offices, duties, responsibilities):

adopt, assume, take over

WordNet sense 3 (admit into a group or community):

accept, admit, take

WordNet sense 4 (contend against an opponent in a sport, game, or battle):

meet, play, encounter

WordNet sense 5 (take on a certain form, attribute, or aspect):

acquire