I guess you realize that Bell didn't do the experiments himself. The landmark experiment was done by Alain Aspect and collaborators in 1981.
Here is the paper you should read to start with:
A. Aspect et al., Experimental Tests of Realistic Local Theories via Bell's Theorem, Phys. Rev. Lett. 47, 460 (1981)
Online at: http://link.aps.org/abstract/PRL/v47/p460
I would be surprised if there is a "raw observations database" available but there is considerable data in the paper references above.