Here is the System over view, with all the Next Gen consoles specs.  For a more in depth look, go to the respsective area.
Quick Chart:
Polygon Power
GameCube: 6 to 12 million polygons per second (conservative, but realistic estimate)
PlayStation 2: 75 million polygons per second (realistically about 20 million with effects)
Xbox: 150 million polygons per second (does not consider real gameplay environments)
Main Clock Speed:
GameCube: 485MHz
PlayStation 2: 300MHz
Xbox: 733MHz
Memory
GameCube: 24MB of 1T-SRAM (main), 16MB of 81MHz DRAM (main), and 3MB of embedded 1T-SRAM in the graphics chip
PlayStation 2: 32MB Direct Rambus RAM (main), 4MB of embedded DRAM on the graphics chip
Xbox: 64MB of RAM (unified memory architecture)
Memory Bus Bandwidth
GameCube: 2.6 GB/s (Gigabytes per second)
PlayStation 2: 3.2 GB/s (Gigabytes per second)
Xbox: 6.4GB/s (Gigabytes per second)