hmmm
There is a way but it will take patience .
Download and Install Android SDK
Android SDK | Android Developers

Connect your phone to computer

run ddms.bat from CrogramFiles\android\....\tools\

now you can use the screen capture utility(Device--> Screen Capture .Keep it refreshing ) to visualize how your phone works .
then mass send all the messages to other phone number you have
OR use
Handcent SMS to backup the messages to SD card and transfer it to your new phone .

 

Moved to HTC Sensation 4G so that other subject matter experts can chime in on this issue.

also as karandpr suggested, the sdk is going to be your best bet right now

 

Hi, I found this thread via a google search -- I'm having the same problem with the same phone. The display gave out on my phone, but it seems to still work otherwise. I tried the ddms.bat method as stated above. I plugged my phone into the computer (to which Windows makes that found device sound), it shows up as an external drive on Windows explorer, but asks me to insert a disk into that drive when I try to open it, and it isn't recognized as connected to HTC Sync. When I open up ddms.bat, all the options under the "device" menu are grayed out. Is there any other way to get the data off my device?