Award Snub: The band was never even nominated for a Grammy.
Although John finally won a Grammy for his 1997 album Blue Moon Swamp.
Comically Missing the Point: "Fortunate Son" has been repeatedly used as some sort of patriotic anthem (especially in such films as Battleship and Independence Day: Resurgence) due to the opening line "Some folks were born made to wave the flag, ooh they're red white and blue" despite it being a Vietnam WarProtest Song talking about how the wealthy and connected dodge the draft and paying taxes while the poor and unconnected get sent off to die.
Covered Up: Their rendition of "Susie Q" is by far more widely known than the original by Dale Hawkins, and their version of "I Put a Spell on You" is usually played more often than the original Screamin' Jay Hawkins version.
In reverse, their song "Proud Mary" was Covered Up by Ike & Tina Turner.
Fogerty had a minor solo hit with "Rockin' All Over the World". Then Status Quo covered it...
Ear Worm: Most of their songs, though probably "Bad Moon Rising", "Proud Mary", and "Down on the Corner" most of all.
Epic Riff: "Susie Q", "Green River", "Born on the Bayou", "Bad Moon Rising", "Proud Mary", "Down on the Corner", "Up Around the Bend", "Fortunate Son", "Who'll Stop the Rain", "Have You Ever Seen the Rain?", "Run Through the Jungle".
Memetic Mutation: A very early example of one is in "Bad Moon Rising". It was a popular thing for drunk people at concerts to get the lyrics wrong (sometimes by accident) by saying "There's a bathroom on the right". Some of the lesser informed concert goers would actually think those were the lyrics, helped by the fact that Fogerty will occasionally slip that line in when he plays it live.