The Thermaltake Toughpower GF3 850W wins in 3 out of 9 comparable specs, with 4 ties. Its biggest advantage is SATA Connectors (100% better).
RM1000e wins in 2 specs (PCIe Connectors: 100% better).
Recommendation
Choose Toughpower GF3 850W if you want the best overall performance — especially sata connectors.
Choose RM1000e if pcie connectors matters more to you.