As far as I can tell there are two different types of sheet music/tablature (there are most likely a whole lot more variations, but for my purposes) where one type aims to let you play your instrument exactly as it is played in the original song. This is the most common type I find when searching on the web.
Then there is the other type, which is sheet music where it aims to let you replace the vocals of a song with your instrument. This was common back when playing an instrument in school, but it's been extremely difficult to find these types of sheets for pop songs on the web. I'm thinking I need some way to specify what type of sheet I'm looking for, and that's why I'm asking if there are any naming conventions typically used to separate the two types.
If at all relevant, I'm specifically looking for sheets for guitar and piano.