I mostly listen to rock/classic rock/jazz. I've directly compared the LCD-2s, T-1s and Grado PS-1000s (among others) for many hours at home and if I had to choose one of those I'd probably go with the LCD-2s... but I like the Audeze house sound (to the point that I liked the LCD-3s best, so that's what I bought). The T-1s, while sonically different, were VERY close in my order of preference to the LCD-2s, and I am seriously thinking of plunking down the bucks on a pair soon. They are a change of pace from the Audezes, with a different fit and feel, in addition to a different sound, which would be ideal for me as a second pair.
But as a first pair? It will really come down to your personal preferences. Both the T-1s and LCD's sound great with whatever you throw at them, assuming quality source and amp. The LCD's have a better, more forward mid-range, while the T-1s have more treble energy. Both had excellent bass, with the edge maybe going to the LCDs, but not by much. Both were tight/well-controlled in the bass, with good timbre. It all really depends on which sound you like better.
You also need to take comfort into account. Planars like the Audezes are heavy with significant clamping force, and the Audeze's with their leather pads are hot. Some people have a problem wearing them for very long, but I don't mind. On the other hand, I admit that there are times when I wished I had something light and reasonably cool like the Beyers to slap on when I'm tired of my head getting steam-pressed. That's why I'm probably going to buy the T-1s soon.
As to the Grados, I only have experience with the PS-1000s, which are supposed to be their flagship headphones: they didn't fit me well at all, and I found their bass to be tubby/boomy/uncontrolled compared to the Beyers and Audezes. The sound might have been affected by the poor fit, but my point is that fit/comfort is an important part of the experience, so I STRONGLY recommend that you try them all on before buying them.
