Stage 1: Sealed Majeh vs. Shikai Ichigo (Hueco Mundo arc)
Stage 2: Temp-Release Majeh vs. Bankai Ichigo (HMA)
Stage 3: Full Release Majeh vs. Final Getsuga Ichigo
Final Stage Speculation: King of Hell Majeh vs. EoS Ichigo (to be determined at series end)
The final stage, of course, can't really be determined until both series are concluded. However we do see an idea of what they'll become. Majeh is to acquire the Power of Yama, which gave the previous king absolute reign over all of the dead in Hell. This took the form of a hammer for him. It was unblockable and it never missed. How this power will manifest in Majeh's hands is unknown.