Do you know which road is connected to the King’s Gate, Dragon Gate, and Old Gate of King’s Landing? I know 1) Lion Gate/Goldroad 2) River Gate/Southern Kingsroad and Roseroad 3) Iron Gate/Rosby Road 4) Gate of the Gods/ Northern Kingsroad. The other 3 elude me. Any ideas?

You’re right, it’s a bit confusing. The King’s Gate is connected to the Tourney Grounds, but it looks like there’s a road leading west, which I would guess leads along the Rush to the ford nearest to the city as an alternative to using the ferries. 

According to the Wiki of Ice and Fire, the Dragon’s Gate is connected to the Kingsroad, but that’s contradicted by the info about the Gate of the Gods. There is a mention in the Princess and the Queen that during the riots, “Rhaenyra and a small band of followers slipped out through the Dragon Gate, intending to make their way up the coast to Duskendale.” Which suggests that there might be a direct road from Duskendale to King’s Landing as well as the Rosby Road. 

The Old Gate, being in between the Gate of the Gods and the Iron Gate and thus in between the Kingsroad and the Rosby Road, is a puzzle. My guess is that there may be or have been a direct route to Maidenpool from King’s Landing.