Normally, I use CE with RE configuration as a current source to drive LED as shown in the following figure. In this circuit, laser diode ADL-65055TL from Laser Components was used. Its operating current is 25mA, maximum current is 35mA, and operating voltage is 2.2V.
For a 12V power supply, assuming VCE(saturation) is approximately zero, RE is calculated as
$$ R_E=\frac{Vcc-V_L}{I_{max}}=\frac{12-2.2}{35m}=280 \Omega $$
I did not want large gain for this CE configuration and bypass capacitor was not used. I wanted the ac output current of this class A amplifier to swing between 23mA and 29 mA. Using the quiescent emitter current for transister 2, IE2=26mA (near operating current), emitter voltage is, VE2=RE x Iop= 280 x 26m = 7.28V. To achieve high input impedance, a CC amplifier was cascaded in front as shown in the following figure.
Assuming base-emitter junction voltage, VBE, as 0.7V, the quiescent base voltage of transister 1 is VB1= 7.28+0.7+0.7=8.68V. Neglecting the small base current, R1 and R2 are calculated as
$$ V_{B1}=Vcc \times \frac{R_2}{R_1+ R_2}$$
$$ \frac{R_1}{R_2}+ 1=\frac{12}{8.68V}$$
Then, R2=2.6 R1. If we choose R1 as 22k arbitrarily, R2 will be 57k. The ac input voltage should be (29-23)m x 280= 1.68V peak to peak. The resulting prototype using available components in my lab is shown here.