This is the corp deck I built to teach new players how to play Netrunner (along with its sister runner deck). It was designed to be fun, interactive, and relatively simple to pilot. It rewards players for doing what they want to be doing—making money and jamming and scoring agendas—while also teaching them several important concepts (e.g., protecting and maintaining remote servers, ice placement, scoring plans, defensive upgrades).
I prefer these lists to the neutral-identity lists provided alongside System Gateway because I believe that omitting/ignoring crucial aspects of the game (e.g., IDs) only delays and hinders one's understanding of the game. Instead, (things like) ID abilities help to build good instincts and are an easy way of demonstrating deck theming and synergies. These lists also have the advantage of resembling the actual game of Netrunner that experienced players play, while also relying on fundamental strategies and mechanics.
I also built slightly more advanced (and more fun) versions of these decks using cards from both System Gateway and System Update, which can be found here and here.