I started a project specifically to begin vetting hosts by durability. Take a look at my official Round 2 listing, which dropped the usual brittle newcomers by the end of round 1.
On the right CWahi has the longevity trophy at some 9ish years. (10 by now?). I think IsMyWebsite is coming up on three. These are both ad-based plans.
On the left are newer hosts with no ads in approximate order of strength. Darksoul of Paradox is the fastest at turbo-replies if you're doing something really volatile that needs some help. Turesweb is quiet and steady. Aloy Casmir of Numbhost is ... well... just a nice guy so I added him, though his plans aren't clear yet!