[Game View] Downloadable Footage of Games that We've Played

Is it possible for us, the League of Legends community, to download previous games that we have played in order to show friends, ask for tips, go over the footage so that we may be able to improve on some of the mistakes that we have made that game? It might be a little too much to ask but I just want players to be able to watch games or download them so that they can go over that game they had played. Consideration would be greatly appreciated! Thanks!