I've seen three current Prem clubs that have done that, Wolves, Southampton and Leeds, I've not included Leicester because that was further back and my lot were in L2 when they came to L1.
Of the current Prem I have seen about seven of those teams pass into/through L1 or L2 during my time...
Brighton (they actually ground shared with us), Brentford, Crystal Palace, Bournemouth, Wolves, Leeds, Southampton. I've only included those seven, there might be another one or two, but the brain matter fades.