My husband had a vasectomy in 2003. Are there ways to get pregnant (with my husband's sperm) after a vasectomy WITHOUT going through the reversal process? What I mean is is there a way to extract sperm, albeit weak, from a man to be implanted into a woman? Or, is the vasectomy reversal required?

The simple answer is yes :)

Here are a couple sites that can give you some more information...
Vasectomy Assisted Reproductive Technologies - Vasectomy Health Information - NY Times Health (http://health.nytimes.com/health/guides/surgery/vasectomy/assisted-reproductive-technologies.html)

Non-surgical reversal of vasectomy - biopsy device can enable vasectomized men to father children by retrieving their sperm or restoring fertility - Brief Article USA Today (Society for the Advancement of Education) - Find Articles (http://findarticles.com/p/articles/mi_m1272/is_n2629_v126/ai_19841019)