Previously I posted on an article on making biodiesel using the fungus Gliocladium roseum. Here is a new study reporting conversion of lipids to biodiesel using the basidiomycete Cryptococcus curvatus. There has been also other progress in this area where Mucor circinelloides can also be used to produce oils suitable for biodiesel production as reported in the paper and the press release - though it is a pathogenic fungus with interesting spore size dimorphism.
Thiru M, Sankh S, & Rangaswamy V (2011). Process for biodiesel production from Cryptococcus curvatus. Bioresource technology PMID: 21930373