Mikew99, that is the point! In Android 4.4 (which came with my phone) the Contacts app changed its name to People, and there is no more the option to hide contacts with e-mail addresses only - now ALL contacts are listed. I would be happy if it were possible to chose to display only the contacts with phone numbers, but this option is not in my version.
Apparently, all of you that are saying that this is trivial to do have older versions of Android.
Hmmm maybe this is something new in 4.4. I am still in 4.3 with my Galaxy Note II. I don't know.. 4.4 sounds bad.. LOL. It seems strange that it would take out all the filtering options. I would go to androidcentral or xda forums for your phone and ask someone there to see if they could help you on the contact (or People) thingy.
The worst is that 4.4 is bad and you just have to root it and put on 4.3 or something earlier.