Perhaps next time saved the PGN or FEN of the game you would like to save, I'm not sure if there is a way of accessing older games.
If you Google "old online cache viewer" there might be a site that allows you to access old web pages /files from the past.
The game archive on my Online Chess page shows me the most recent 19 finished games but I have been unable to find any earlier games. I am not a paying member.
Do people store old games and if so what is an easy way to do so? I play very few games that are worth keeping but there have been one or two I would like to be able to revisit and there is one current one which I can find because it was played in a tournament and which I might keep if there is an easy way to do so.