To download the other ones you need to make a folder in the versions folder for minecraft and put the client and JSON file for the versions in there. They all need to be named the same aside from file extensions. Once you do that, you will be able to choose that version when making a new profile with the minecraft launcher.
I don't remember having this issue myself in singleplayer, can't say for multiplayer though or if maybe you need to be an operator to access it (as I come across mods on snapshots and use this for biome/structure mods a lot) but I could be wrong.
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