Combos

Bread and Butter

LMcMH -> Launch -> LMH -> MH -> MH -> H Tensho Kyaku (optional: Hyper Combo Level 3)

Other Combos

LMcMH -> Launch -> MMH -> MMH -> MH -> H Tensho Kyaku

MMH -> MM

LMcMH -> Launch -> MMH -> MH -> MH -> H Spinning Bird Kick

LMcMH -> H Kikouken -> Houyokusen -> Any air combo Bread and butter super variant.

LMcMH -> H Kikouken -> Kikou Shou

LMH -> Launch -> M -> Shichisei Senkuukyaku

Japanese Tatsunoko vs Capcom Blog Combos (Advanced)

Source: http://www.capcom.co.jp/blog/vs/blog/20100129_1590.html