You are starting with 10mV peak and need to output 3.6V peak. Hence you need a gain of 360.
You can design as follows:
preamp stage gain = 36
driver stage gain = 10
power stage gain = 1

 

Raising the base resistances for the output stage would help with the overloading, correct?

No. The output of the output stage is overloaded. The base resistors for the output stage are at its input.

The output transistor pushes the signal voltage up at the 8 ohms speaker and the emitter resistor pulls the signal voltage down.
Your 155 ohms emitter resistor value is way too high then it barely pulls the signal voltage down. I showed the transistor works fine with it when the speaker impedance is extremely high (no load).

A class-A room heating amplifier's emitter resistor value must be a VERY low resistance. The transistor and the emitter resistor get extremely hot wasting a lot of power even when not playing any sounds. That is why almost all audio amplifiers use class-AB push-pull which has cool parts when not playing any sounds. The push-pull output has an NPN transistor to push up the signal voltage and has a PNP transistor to strongly pull down the signal voltage.

 

What AG has shown is still a common-collector BJT configuration.

In this push-pull configuration you are using two transistors instead of one. One transistor works on one half of the cycle while the other works on the other half.

The characteristic of the CC configuration is that it provides current gain and unity voltage gain. More importantly, it provides low impedance output. For this application you want the output impedance to be lower than that of the 8Ω load.

The load needs about 500mA. Hence you need to drive the base with at least 20-50mA.

 

An audio amplifier has an extremely low output impedance then it damps the resonance of a speaker preventing the speaker from sounding "boomy" like a bongo drum. The amplifier spec is called Damping Factor.
A Crown hifi amplifier has a Damping Factor of >1500.

 

If you don't mind doing a single stage result I would really appreciate it! And are the stages not already capacitor coupled with the 20 uF caps? Or is that something else?

Hi,

Ok. I didnt get to the three stage amp yet because i was doing some other maintenance around here that took up all my time. Once i get through that i can do some analysis again.