I think my newest piece, "Into the Storm," ticks all of those boxes (if I do say so myself). This piece is at the elementary level, but sounds impressive. Students get experience playing half steps (crossing thumb under), crossing hands (left over right and right over left), playing with crescendo and diminuendo, and playing an octave higher or lower than written.
I have a couple of very different students in my studio that I plan on using this piece with. The first is struggling a bit with his note reading, and needs more practice playing artistically. I think he can learn the more challenging sections of this piece by rote and really work on his dynamic contrasts. The second student is reading notes really well and creating beautiful sounds at the piano, but needs a little push to start playing faster and moving quickly around the keyboard. I think both students will be motivated by the showy sound of this piece.
If you are interested in taking a look at this piece, you can find it HERE.
What are some of your favorite skill-building pieces for your students? Please share in the comments!