Fats Domino's song "Blueberry Hill" is a good example of a song that uses the 1-8-3-5-3 chord progression. In the key of C, the chords would be C-C7-F-G-F. Here's how the progression might look in the context of a verse:
C C7
I found my thrill on Blueberry Hill
F G
On Blueberry Hill when I found you
C C7
The moon stood still on Blueberry Hill
F G
And lingered until my dreams came true
In this example, the 1 chord is C, the 8 chord is C7, the 3 chord is F, the 5 chord is G, and the 3 chord is F. The 1-8-3-5-3 progression is a common blues progression that has been used in many different songs.