WordNet sense 1 (engage or hire for work):

employ, hire

WordNet sense 2 (carry on (wars, battles, or campaigns)):

wage

WordNet sense 3 (carry out or participate in an activity; be involved in):

prosecute, pursue

WordNet sense 4 (hire for work or assistance):

enlist

WordNet sense 5 (engage for service under a term of contract):

charter, lease, rent, take

WordNet sense 6 (keep engaged):

lock, mesh, operate

WordNet sense 7 (give to in marriage):

affiance, betroth, plight

WordNet sense 8 (engage or engross wholly):

absorb, engross, occupy