This is the best hidden-gem we have found in quite a while!

I emphasize the hidden part because we never found the main and theoretically most obvious entrance, and we were searching. Our host in Sigtuna mentioned that if we were taking the train to the Stockholm City stop, that the exit to the train was pretty close to one of Vete-Katten's entrances. That's not the one we found. Stumbling around a side-street while waiting for Google and City Mapper to agree on something, we saw a modest little sign for the shop, entered an enclosed alleyway through a nondescript door, and entered another nondescript door some way farther along the alley. Met with a tiny bakery counter, we ordered some pastries and a coffee, and were directed through a door to either side and advised we would find coffee nearer a table. 

Somewhat skeptically, we went through one of these small doorways and around a very cosy and private tearoom, and only then found ourselves in a broad, open-plan room with small tables, chairs, and couches dotted about the sides while a large circular table held coffee services and a ring of cups and saucers at the ready. 

I prepared my coffee, and we ducked around yet another corner to find a perfect table for two in a cosy nook where we took our time devouring our amazing pastries. Vete-Katten is what every hip, young coffee house wishes it could be when it grows up. My breakfast there will be one of my fondest memories of Stockholm, and should I ever make it back to the lovely city my first order of business will be to try and find it again!