If she doesn’t look like a fast ship, that’s by design. The Millennium Falcon is actually a YT-1300 cargo vessel, a Corellian Engineering Corporation freighter that was designed to lug around cargo. It was one of the most popular space vessels ever produced (interesting when you think about how you haven't seen any others...) and smugglers liked it because it was durable and completely customizable. Han Solo and Chewbacca, of course, took this to the next level by heavily (and illegally) modifying nearly every part of the ship, installing all sorts of unlicensed and highly dangerous components to make for a ship that’s as unassuming as it is powerful.
Luke famously said “What a piece of junk!” when he first laid eyes on her, but that's entirely on purpose.
It may look unwieldy, but that massive radar dish jutting out from the top of the Falcon has a purpose. Solo likes to say that he never ran from a fight where the odds weren’t even or better, but the truth is that it was sometimes better to avoid them altogether. That's the reason he installed this dish. It’s huge for a ship this size and both it and its hardware allows them to spot unfriendly vessels minutes before they knew the Falcon was there, letting them change their course and stay undetected.
Of course, it's so big it almost made the vessel crash during its flight through the new Death Star, but it seems as if it's so handy that, if the Force Awakens teasers are any indication, a new, smaller model was built soon after.
One game that Solo is good at is Sabacc. A popular card game with lots of chances for betting, Solo was so good at Sabacc that he entered the Cloud City Sabacc Tournament and proceeded to best over a hundred competitors. Five qualifiers made it to the final game but they were soon whittled down until Solo was going head-to-head against Lando Calrissian. After losing all his credits in the last hand, Calrissian bet any one of the ships on his lot to Solo. Solo won the hand and took him at his word, picking the Millennium Falcon - Calrissian's personal ship! - for his prize. Calrissian protested, saying that it wasn't part of the deal, but Solo pointed out that it was technically on his lot, and Calrissian had to concede.
It was only fitting, as Calrissian had acquired the Falcon in a game of Sabacc himself from a gambler that couldn't cover his debt.
A pair of dice can be seen in the Millennium Falcon‘s cockpit in A New Hope. They were given a canonical explanation in Greg Rucka’s novel Smuggler’s Run: A Han Solo & Chewbacca Adventure. Chewbacca apparently hung the pair of “novelty chance dice” in the cockpit as a joke years ago. I like picturing Chewie wandering through a souvenir shop and picking them out.