The biggest Cuban exports for tourists are rum, cigars, and coffee, all of which are available at government-owned stores (including the duty free store at the airport) or on the streets. Foreign nationals are allowed to export up to 50 cigars (generally 25 to a box) without special permits or receipts. Always ensure, no matter where you buy, that the Cuban government origin warranty stamp is properly affixed to the cigar box. If you buy cigars cheap on streets and you don't have official purchase invoice then your cigars may/will be confiscated.
Cubans also do well in creating music such as salsa, son, and Afro-Cubano. You can purchase CDs or tapes anywhere.