Transistor Amplifier Signal Drops Off Below 200-300Hz
The value of C3 is way too low. Calculate using 470uF for -3dB at 43Hz.
I didn't calculate it but I think the value of C2 is also too low. Simulate increasing the values for C2 and C3.
Before looking at its frequency response, why not see if it can produce a sinewave? It can't because there is no way its emitter-follower output transistor with its very high value emitter resistor can drive the very low value 8 ohms load.
Also, the emitter-follower is biased wrong.
I fixed it but without any negative feedback it is very distorted.