In this post, I will focus on advanced Muay Thai moves and techniques. If you are looking for standard moves and a regular set of Muay Thai techniques like Kicks, Punches, Elbows and Knee strikes take a look at Muay Thai techniques post.
A cartwheel kick is something that Saenchai made famous with his insane - in a good sense - fighting skills. This technique requires a perfect timing and a great body coordination. Saenchai has used this move many times with a great success when fighting much bigger guys than him. If it works for him it may work for you too [if you are stretched enough].
A Superman punch generates a massive amount of force at the end of an arm of a fighter who throws it. On top of being powerful, it is one of the most powerful Muay Thai moves and an ultimate crowd pleaser. The downside of a Superman punch is that it is telegraphed and also that it leaves the right side of the fighter's body unprotected and open to counter attack. This technique was used in Muay Thai before it became popular in MMA competitions.
To throw a spinning back elbow you have to step forward with your front leg [left for an orthodox] to put it in line with your opponent's front leg, lift your front arm [left arm] up to cover your face and strike with your [right] elbow by making a spinning back motion with your arms and an upper body.
Leg sweep is a technique that can be utilized right after catching an opponent's kick to swiftly throw him on the ground. Leg sweep is a great defensive technique that can be used against a slow kicker or a fighter that telegraphs his kicks. It may be also used from the clinch which is a technique unique to Muay Thai. In the latter scenario, you can plan a sweep and work inside the clinch to create an opportunity for a successful sweep.
A flying knee is one of the most spectacular Muay Thai moves, especially when it lands cleanly on your opponent's chin. In general flying knee is very similar to a straight knee technique. To deliver a flying knee you have to use your supporting leg to spring off the ground and jump in the air towards your opponent. There is a great chance of a spectacular KO when your knee hit the chin of your opponent. If you miss you will have to be prepared for a counter attack because you are going to be vulnerable to counter strikes right after you land on the ground.