Why does my LM317 give lesser output than with LM337?
Consider this  circuit.. you will see many volts "ripple" across R1. 







simulate this circuit &ndash; Schematic created using CircuitLab

You really need two capacitors, one for the positive supply and one for the negative, each connected to ground. Peak-to-peak ripple @60Hz will be approximately 0.0083*Iout/C, so for a 1A output current you need 8.3mF or 8,300uF to get 1V p-p ripple. 

Tony is correct, the 100uH and 1uF don't do much of value so I am ignoring them. 

Also, it appears you have a mistake in your simulation- 120VAC mains is 170V peak, 340V peak-to-peak. The stated voltage is already RMS, no need to multiply it by \$\sqrt{2}\$.