How Can I Delete Required Apps On An Ipod Touch?

You cannot delete the default apps that come with iOS.

Ok. I know, I know. I am replying 2 years later. I don't care. But, the only app that you listed that you can sorta get rid of would be Face Time. What you have to do is restrict it then it won't show up on your home screen anymore. Here's what you do; go to Settings>General>Restrictions>Click on 'Enable Restrictions'>Type in the passcode that it requires (don't worry this won't be your lock screen passcode)>then just find 'FaceTime'>slide the slider to 'on'>and there you go!>Go back to your home screen and it shouldn't be there anymore. You do need to remember the restrictions passcode, though because if you want to disable anything else, then you just have to put the passcode back in and do the same thing. I hope this helps!!