Dragon Naturally Speaking
Nero Essentials 7
All of those programs should be able to run inside of Windows 7 64-bit.
I run Dragon Naturally Speaking and Nero 12 and don't have a problem. If they are legitimate copies you should be able to get the latest updates from either Nuance (Dragon Naturally Speaking) or Nero (Nero Essentials 7) that will make them compatible with 7.
It sounds like its an issue with the software titles needing to be updated to match the new OS.