Live Forever Achievement
The main things you need to get this achievement are patience and a good understanding of each boss fight so you can down them with no risk of a death. Beyond that the most dangerous things are spikes and instant death pits + the elevator in stage 2 since it has plenty of spikes and enemies to knock you into them. I suggest practicing the elevator before attempting this achievement.
Don’t Touch The Paint Achievement
This section takes quite a bit of practice. For most of the first section you will want to just mash fire as you are going then towards the end use a charged shot on both the last set of enemies + the 2 floating ninja star traps. After that make sure you work in charge shots everywhere you can on the second section especially for the enemies with the shields.