Fuck...that's an impossible question for me.
I LOVED Fort Minor when it came out...I used to listen to We Major, The Rising Tied, The Militia tracks, AOL Sessions, The Street Team Sampler, The remixes, everything, all the time. I saw Fort Minor in Boston too, back in the start of 2006, and I have to say that it was one of the best shows I've been to still, to this day. They kick ass live.
As for Dead By Sunrise, I fucking love every song on Out Of Ashes to death. I used to play Let Down (Live from 2005) and the Morning After remix like everyday, then when Walking In Circles and My Suffering from Club Tattoo 08 were recorded, I listened to those all the time immediately after that show too. I also saw Dead By Sunrise live twice, once in NYC, and the second time at the Ulalume festival and they both were fucking awesome and a real lot of fun. A lot of the songs on Out Of Ashes relate to me in ways, so I guess that could be partially why I love the album, the other part being because it's so melodic and moody which is what I like about it the most I guess.
I think I'm gonna have to go with Fort Minor on this one though. In the long run, I'm still more of a Mike fan than Chester even though recently I've been way more into Chester's stuff. Mike is fucking amazing, simply put. He is a musical genius and he's a fucking awesome artist too. I remember back in 2005, I went to a local FYE to buy The Rising Tied special edition and the guy that rang me up said ''I'm not a Linkin Park fan at all but I love this album. I'm not a fan but anything that Mike Shinoda does turns to gold, if that makes sense'' or something to that extent, and he is right.