Examples of Homophony
Choral music in which the parts have mostly the same rhythms at the same time is homophonic. Most traditional Protestant hymns and most "barbershop quartet" music is in this category.
A singer accompanied by a guitar picking or strumming chords.
A small jazz combo with a bass, a piano, and a drum set providing the "rhythm" background for a trumpet improvising a solo.
A single bagpipes or accordion player playing a melody with drones or chords.