Jester blogs about SM vacuum stability (and Lubos comments).
Alejandro Rivero has pointed out many times that the top yukawa is unnaturally close to 1, and I think this ought to be tackled in conjunction with the Higgs coupling. For the Higgs coupling one might look for a watered-down version of asymptotic safety (that is, a less stringent assumption which nonetheless reproduces the final stages of the Shaposhnikov-Wetterich prediction for the Higgs mass). Meanwhile, the only paper known to me which even talks about the top yukawa being close to unity is arxiv:1203.3825.