1.  to receive;  to get
2.  to catch (e.g. a ball)
3.  to be struck by (wind, waves, sunlight, etc.)
4.  to sustain (damage);  to incur (a loss);  to suffer (an injury);  to feel (influence)
5.  to undergo (e.g. surgery);  to take (a test);  to accept (a challenge)
6.  to be given (e.g. life, talent)
esp. 受ける, 享ける
Verb (1-dan, intransitive)
Colloquialism
Usually written in kana
7.  to find funny;  to find humorous;  to be amused (by)
esp. ウケる
8.  to follow;  to succeed;  to be descended from
esp. 受ける, 享ける
9.  to face (south, etc.)
10.  to be modified by
esp. 受ける, 承ける
11.  to obtain (a pawned item, etc.) by paying a fee
esp. 請ける, now primarily used in compound words
Verb (1-dan, intransitive)
Usually written in kana
12.  to be well-received;  to become popular;  to go down well
esp. ウケる, うける