Help Me Plan My Trip to Tokyo!

Next Friday I will be flying to Tokyo for the first time. I'll have three days to spend there and I'd appreciate your help figuring out where to go and what to eat. I'm going solo and I don't speak a lick of Japanese, so I'm in need of your best recommendations! I generally don't like really touristy attractions and I despise waiting in line.

I arrive in Tokyo on Sunday at 5am (flying Delta JFK-LAX-Haneda), leaving on Wednesday afternoon and I'll be staying at the Park Hyatt. That's all I have planned as of right now, but I'd like to get things finalized this weekend. Please give me your best recommendations in the comments section and I'll be giving back a special gift from Tokyo to a random commenter when I get home.

This trip is just the beginning of a lineup of more traveling for 2011 and I have some pretty exciting news that I'll write about next week. Safe travels and enjoy the long holiday weekend!