Mega Man X/Boomer Kuwanger

Tower Stage
Boomer Kuwanger awaits on the top floor of a huge tower, which you must travel through. It doesn't feature any difficult enemies or sub-bosses, so it's a rather easy stage. You'll also find a heart tank which cannot be taken at first, but after you get Boomer Kuwanger's weapon, the Boomerang Cutter, you'll be able to grab it no problem.

Level Start
You start off on the ground floor of the tower. Climb up the ladders and you'll find a Hoganmer (the robot with the mace and shield). Remember to jump over his mace when he throws it, and then quickly destroy him with a fully-charged blast. You'll also encounter a robot that travels a long the walls, and quickly retreats in the opposite direction once you approach it. To destroy them, just get close and take them out with a fully-charged buster shot.

Once you get to the next floor, you'll have to deal with some annoying flying robots and some laser trip wires (which trigger the invulnerable robots hovering above to shoot you with an extremely fast laser). Destroy the flying robots if they come close, and wait for the laser trip wires to disappear, then quickly run across.

When you get to the other side, climb up the ladder and destroy the missile-shooting robots until you reach the top. Hop on the nearby elevator once you do.

Elevator Ride
As soon as you step on the elevator, it will immediately start to ascend. At first you'll have to dodge some spikes (if you come into contact with them, it will result in an instant kill), but afterwards, some purple flying robots will try to halt your progress. You don't have to destroy them, as you can simply dodge them and watch as they disappear off-screen.

Once you get near the top, the elevator will start to slow down, and a series of spikes will appear. Dodge all of them and step outside.

Outside Area
In this area, you'll have to deal with some cannons on platforms that emerge from the left-hand wall. To get to the next floor, you'll most likely have to destroy the cannon and ride on the platform in order to jump to the ladder (however, it is possible to just scale the wall and wall dash to get to the ladder). There will be spider robots on some of the ladders, but they can easily be destroyed.

On the top floor, you'll notice a heart tank that is out of reach. As stated before, you can get this heart tank with Boomer Kuwanger's weapon, the Boomerang Cutter, so you'll have to wait until you defeat him.

Final Area
In the final part, there will be cannons riding on flying machines and some more of those wall scaling robots from the first part of the stage. You can destroy the cannons and ride the machines, or you can just scale the walls in order to reach the ladders. Step inside the dungeon once you get to the top floor.

Boomer Kuwanger
Boomer Kuwanger is one of the easiest bosses in the game, even on par with Chill Penguin, if you use the Homing Torpedo. He only has two basic moves: he'll either throw his boomerang at you, which travels in a circle, or he'll become invisible and spawn at a random location (which will most likely be near you). He also moves very quickly by gliding across the ground. However, the only thing you have to do is scale one of the walls, hide in the corner, and shoot a Homing Torpedo. The missile will find Boomer no matter what, so just keep firing it while you're hiding in the corner. If he comes too close to you, simply wall dash and do the same thing on the opposite wall. Repeat this strategy until he's dead (which doesn't take long).

Reward
Boomerang Cuter! This fires a boomerang at enemies, which will travel in a circle in front of X. By standing still, the boomerang will travel upwards, while the opposite will occur if you jump. Three of these can be fired in rapid succession and the boomerangs can even be used to grab items out of reach.

Boomer Kuwanger Heart Tank
Go back to Boomer Kuwanger's stage and head to the top floor of the outside area. Equip the Boomerang Cutter, stand in the position shown in the picture, and shoot one boomerang. It will grab the heart tank and bring it to you... easy as that!