Hey David, how you doing man?
I've listened to the clips provided and I can almost certainly say that you need to be a Fender guy, that is to say, take a look at the Amplitube Fender collection and see if it is in your budget, if is in your budget, move forward with it as it will most certainly give you what you are looking for in the way of amp tone.
If it is out of your budget, look for a Fender sounding amp in the standard collection (something with warm and precise clean tone) there are plenty there, you just need to invest a little time looking for them.
The other big part of this sound regardless of what amp you choose is
reverb, make sure you have a good reverb effect available in your collection, this is a huge part of the sound you are looking for. If you go with the Fender collection I'm quite certain those amps come with a traditional reverb built in, also from memory, the standard Amplitube series comes with some very good generic reverb's that will most certainly do the trick.
For your guitar, again a Fender type single coil either Stratocaster or Telecaster is what you are looking for, if these are both out of budget, focus on a guitar with single coil pick ups which is largely what gives the Fender guitars their traditional sound.
I hope this this helps dude, keep rockin and good luck!!
Cheers, CS.