Here are some songs that can help you to easily recognize some of the most common chord progressions in popular music.
Yes, these songs (almost) only use two chords.
This is the famous pop or money progression. Remember 1564, the year William Shakespeare was born (and Galileo Galile)
This is still the same order as the "money progression" just shifted by one. (1)5641
This is still the same order as the "money progression" shifted by two. (15)6415
This is a variation of the "money progression" swaping the IV and V. 1465