It happens that I stumbled on a class of infinite dimensional Lie algebras that are not Kac-Moody algebras and for which I was not really prepared for. I know some general results on infinite dimensional Lie algebras from Kac's first two chapters of his book. Is there any more comprehensive and up to date reference?

If possible I'm not interested in an approach similar to one of Kac and something not in the line of those suggested in this answer ( https://mathoverflow.net/questions/87134/references-infinite-dimensional-lie-algebras )