I have found one that I like called IN RECITAL
Duets Volume One from The FJH Pianist's Curriculum by Helen Marlais. It has familiar tunes, such as Ode to Joy and Row Your Boat, but also some originals that are good. All are arranged beautifully - fun to play and listen to. Most of them are easy enough to have two students play the parts, and then there are two with "unequal parts", for which the teacher plays Secondo. I used those ones for the students without a sibling or friend to play with.
I think that this book would fit your criteria. Some of the songs stay within the basic octave around middle C (from G to G). Others cover from low C to high C. The nice thing about the familiar tunes is that the student knows if they are hitting the right notes or not, which keeps them encouraged and interested enough to figure it out. The ones with super-good ears were assigned the original pieces, so they actually had to read.

Good luck!