My favourite composer:
Kouhei Tanaka
Of all his works, my favourite pieces come from Gunbuster 1 and 2 and Gaogaigar/FINAL.
His music is one of the reasons why Gunbuster and Gaogaigar are some of the best mecha anime in history. Gurren Lagann is a successor to both animes, especially Gunbuster, as they're both from GAINAX.