The rest are based off what Tolkien started.
Zing!
In part, and most obviously, yes.
Although the "Elf" that we all know and love is very much a Tolkienesque creation, Elves themselves first appear in Germanic and Scandinavian folklore.
The term Elf is also often used to encompass all manner of faeries (or fairies), literally "Fair" or "Fey" folk from both what is known as the "Seely" and the "Unseely" court - two opposing - (in a sense) - factions consisting of all sorts of sprites and goblins and other creatures.
Elves themselves assumed a far more supernatural role as time went by, being depicted very much as nature spirits, living in woods and under rocks, often of a very diminutive size.
(Interestingly Spriggans fulfil an Elf-like nature spirit role).
It was 19th Century romantic literature that brought elves back to full size and started the evolution of the look that we know today. All Tolkien really did was take this 19th century evolution and further develop it, along with some rudimentary splits in elf factions and types and further developing Orcs - (corrupted elves, a concept taken on by pretty much everyone since) - and Goblins, which are themselves still anologues of the perhaps more "unseely" aspects of faerie lore.
based upon Tolkien, the idea of Elves as Dark, Wood, Snow, etc... was further developed over time to give us what we have now. Their rise to prominence is largely due to Tolkien and before him romantic poets, authors and artists. But their roots are far earlier.
In truth, an "Elf" pre-19th century would be a lot closer in appearance to Dobby the House Elf in Harry Potter, but might appear to humans in a glamour as something more akin to Legolas or Eowyn...