Glass tank with sliding screen lid. I had one BP escape because my husband had an "airhead" moment - he was changing the water, ran out to check out why everybody was screaming at the basketball game on TV, sat down to watch it and didn't remember he never closed the lid until morning! We found her in the small crawlspace under the sink - we had to break the bottom part of the cabinet to get her out.
We had the hognose escape once because my son lost the lock to the cage and thought it will be fine for a few minutes while he goes hunting for the lock. By the time he found the lock, the hognose was gone! We found him 2 days later strolling through the kitchen floor. That was the scary one. We thought he was truly gone! He's such a little guy compared to the bp that he could go inside more spaces and be gone forever!
I'm thinking about it now and I'm wondering if the hognose has gotten so used to people that he's not scared to "walk through" the middle of the kitchen in broad daylight with all of us around anymore. Hmm...
By the way, these experiences led us to believe we are not good enough "parents" to own a giant.