Advanced Dungeons and Dragons. Refers to the second edition of the game. Since third edition, the game is again abbreviated D&D, having dropped the word "Advanced".

Accidental death and dismemberment
A type of insurance that is characterized by a very low premium and payouts in the event of an accidental death, loss of a body part, or loss of the use of a body part (i.e. finger, leg, ear, head).
It's generally a comical type of policy because you can see how much each of your body parts is worth.