Nothing plays like Warframe and it'll potentially make all other shooters seem slow and bland.
The shooting is actually fantastic, the movement is beyond anything else, and it's stylish to boot.
Destiny can not compare - it's a completely different game. One that might put Warframe fans to sleep before you finish the droning tutorial. But hey, some might like the slower, controlled pace of Destiny. It's all good, enjoy your thing, Warframe is free and trying it won't hurt anyone - except maybe yourself and your spare time if you get super into it.