This Seeking Tech guide will explain how you can beat the Retro Rampage 4 level in Astro Bot.
Use the following video as a reference:
For the first step, you should stay near the entrance and then wait until the enemies fly to you. When they start to collide with each other, rocket upwards to take care of all four enemies.
Afterwards, quickly run to the sides and then rocket up to the cliff. You should then run to the opposite end while trying to laser the enemies that will spawn.
Next, you should head back towards the entrance. This will make it easier to dodge the spits from the enemies on the moving platforms.
When the slimes on the cliff transform into bunny robots, attack them when they jump down. Make sure you also keep moving to avoid the spits.
Afterwards, head underneath the enemies on the moving platforms. Stay directly under the lower moving platform so that you can avoid their attacks.
When the top and bottom platforms line up, use your rocket to defeat the two enemies. Do the same thing on the opposite side to end the stage.