Well, it ain't locked yet so I'll contribute.. Easily my favorite song is "Thrill Is Gone" by B.B. King. Followed closely by "Crossfire" by Stevie Ray Vaughan, then "Still Got The Blues" by Gary Moore. After that it starts getting a little hazy, but you only asked for 2 and I gave you three.. so there's my 2 cents worth..
My songs, like other peoples', tend to change often, but for now my temporary top 2 are "Indestructible" by Disturbed and "Psychosocial" by Slipknot. I like all the heaviness, power, and motivation in "Indestructible". I also like the way Corey changes his voice in "Psychosocial" along with the awesome guitar work by Mick and Jim.