I think I have an option for your presented circuit.
1. Change the power supply to 12v (or 9v, but 12v is recommended)
2. Change each 2N3907 to TIP122 (this means 1.2v drop across TIP122, so 12v supply recommended)
3. Change each 10k base resistor to 4.7k
4. Change each Blu and each Grn LED limit resistor to 370 ohm resistor, each Red Led limit resistor to 390 ohm resistor.
With the above changes, the total output current to each group of 8 Leds should be ~160mA
Edit:
"If you do the above changes, then you could also reduce the required output current by connecting groups of three LED's in series. Then each group would only require 20mA and one limit resistor. But this is only possible with a 12v supply voltage. And you might be able to keep the 2N3907's."
Oh wait.....can't connect the LED's in series because your LED's are common cathode.
With the new base resistor, you may need to change each capacitor to a larger value, like maybe 270uf to compensate for the smaller base resistor value. Test first.
I'll post a schematic with the recommended changes tomorrow....