I'd consider that I sort of have two, however, I more closely align with something the head brewer of The Eighth State Brewing in SC said on a recent Craft Beer and Brewing podcast. He talked about how they don't have core beers, they think of it as having core "styles", ie they always try to keep lagers, NEIPAs, sours, and stouts on tap at the brewery. That line of thinking allows for more experimentation within your recipes. I personally only have a handful of recipes I brew multiple times, with the rest serving as experiments/iterations/testing grounds for future beers.
My two "house" beers would probably be my main NEIPA which I call "Designated Hitter", which uses primarily wheat as the protein grain and a 2:1 ratio of Mosaic to Amarillo, and my ESB which i call "Order"