Classical piano songs that are good for beginners include "Für Elise" by Ludwig Van Beethoven and "The Entertainer" by Scott Joplin. Pop songs that can be played by beginners include "Stand By Me" by Ben E. King, "Stay With Me" by Sam Smith and "Someone Like You" by Adele.
"Für Elise" has a simple melody and harmonic structure. The song has three structures, with the first structure being the easiest technically. The student should learn each structure separately, starting with the first section. Once he has mastered every section individually, he can combine them.
The student can divide "The Entertainer" into two and four measure links when he practices them. He should play at a slow tempo and increase it as he learns the song. This song has basic chord progressions that make it easier to memorize.
"Stand By Me" had a significant cultural impact, and the chord progression was used in many later songs. Mastering this chord progression prepares the student for learning other songs where it's used.
"Stay With Me" uses only three chords with the same rhythm. After learning the chords, the student can add fills to add his own touch to the song.
"Someone Like You" primarily uses four repeated chords. The student can play these chords with his left hand, and add the melody with his right.