Many stops at Nassau but we stayed at Atlantis last month for a week. The cabs will drop you off at the far end near the market area and you can walk the outdoor shops and a few indoor shops. The indoor shops will lead you to the casino.
As you enter from that end there are table games down the middle with slots on both sides. There is slightly more slots to the right side as you enter compared the left. There is a bar area about midway down, unlike Vegas no counter top games at the bar. There are a couple of restaurants along the left hand wall, but you may not need them coming from the ship and/or they may not open depending on your port time. Continuing down the left hand wall there is a sports book area. It is decent size but not as large as the Vegas ones. As you exit the other end there are a couple of storefront areas but there will likely be a guard that will check for room keys, day passes or armbands to go any further.