Hi Twinmum,
We're looking up the problem now. Thanks for the photo. It's helping quite a bit!!
I'll edit in what we find.
Hubby was trying to reproduce the error, and wasn't able to. So I did a quickie search and this is what I found.
1. Close the game
2. Try moving your saves folder to the desktop, then start a new start the game to create a new saves folder.
3. Close the game.
4. Put one of the save games from your folder back. For example slot_00000002.save
5. Check if it now shows up again
The slot_00000001.save is the autosave file and is no longer used. If you have this file in your game, please delete it. As it can cause loading issues with the game.
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Reference Link:
Re: no load game button sims 4
http://answers.ea.com/t5/The-Sims-4/no-load-game-button-sims-4/m-p/4573152#M44704