The Cell Phone was basically a successful attempt at replicating Kirk's flip communicator.
The Ion Drive also seems to be based on Star Trek's Impulse Engines.
The iPhone (and PDAs in general, as well as Tablet PCs) is a direct attempt to copy the PADD style system in TNG.
Bluetooth headsets clearly are copying the communicator pieces worn by Uhura and occasionally Spock.
Medical Imaging tech like CAT scans and MRI are trying to achieve what the Medical Tricorder can do.
I think in general, Star Trek TOS and TNG have heavily
influenced the direction of what technology does and even what it looks like.
I gotta hand it to the prop designers, they came up with radical ideas that left real scientists and engineers scrambling to make them a reality.