DC level at output also changes a lot!!
This suggests rogue variations in current flow through your output transistors.
Or perhaps one of them turns off completely?
The idea of the op amp is that its output is never at high impedance.
This means the output is supposed to be at a low resistance, regardless what volt level it's outputting.
This means one output transistor might be mostly on and the other mostly off.
But what's supposed to happen when output voltage goes to zero? Should both output transistors turn off? No.
Can you make sure that your output transistors are never both entirely off?
This means adjusting a few things. Current flow at the bottom of the long-tailed pair. Bias adjustments, etc. Maybe it means adjusting a lot of things.
It will be easier if you attach less load at first.
An 8 ohm load is low ohms. To drive it will require similar low ohms through the output transistors (in order to create voltage on the load). Thus you want to find a balanced range of operation between the supply rails.
Make adjustments on a light load, until you get the desired performance. Then progress to a heavier load.