There's not really one place in BCS that has everything.
Brazos Valley Foods and Farm Patch are the first two that come to mind. The Kroger on Longmire (where I shop 95% of the time) has a decent selection of organic, but it's not amazing. HEB on Towerpoint is in the same boat, but has better prices in my experience.
Edit: And I don't know about meat. I only eat chicken and seafood, and those are ubiquitous.