: Is there a name of "I - bVI - bIII - bVII" progression? I heard a song with "I - bVI - bIII - bVII" and It's one of my favorite progression. So I want to know about that progression.

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It’s likely you mean the I is minor, thus i-, bVI, bIII, bVII.
This is a very popular progression (turnaround) in disguise.

It is the same as vi, IV, I, V when you make the bIII the I.

For example, the progression for the verses of Bob Marley’s “Is This Love?” is F#-, D, A, E.

The key signature has three sharps which could make the song either in F# minor (as indicated by the first chord in the progression) or A Major.

If we agree that the song is in F#- then the progression is i-, bVI, bIII, bVII.

However, if we look at it from the relative major, which is A Major, then the progression is vi, IV, I, V.

Progression = F#-, D, A, E

In F# minor = i-, bVI, bIII, bVII

In A Major = vi, IV, I, V

Same song, same progression, just a different perspective.

We usually look at progressions from the perspective of the relative Major key, hence vi, IV, I, V is popular and the more common way to view. However, it’s equally valid to understand it from its minor perspective, hence i-, bVI, bIII, bVII.

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There isn't a name for this specific progression, but it might make sense to call it a circle of fifths turnaround. Let's assume you're in C; this would make the progression:

| C Maj | A?Maj | E?Maj | B?Maj |

Here are some things that make the progression interesting:

the change from major tonality (in measure 1) minor tonality (in measures 2-4)
measures 2 - 4 follow the circle of fifths
upon repeating the progression, going from B?Maj to CMaj is a nice parallel movement

The term 'circle of fifths turnaround' might make sense given that turnarounds are typically short, repeatable progressions that lead back to the I chord. And the use of the circle of fifths is a key feature of the progression.

Separately, the reason ?VII to I sounds good is that ?VII has the 2nd and 4th scale degrees of the I chord, which draw the ear toward the 1 and 3 of the I chord.