@AaronMazel-Gee, If you get you hands on such a survey (matrix factorizations) please let me know, incidentally I'm just was looking for one the past two days. Of course -- I'll do the same.
and it's not a survey, but anatoly preygel has written a bunch about matrix factorizations too (all in $\infty$-categorical language), e.g. arxiv.org/pdf/1101.5834v1.pdf
