Two alternating slow fading/flashing LED's
This is less trivial then one might think. This is my stab at it, tested on breadboard with VCC = 9V.



simulate this circuit &ndash; Schematic created using CircuitLab
OA1 is a simple unity gain buffer used to create a reference voltage a bit below VCC/2. (In order to compensate for the fact that the LM324's outputs can swing closer to ground then to VCC).
OA2 is a integrator that slowly integrates upwards or downwards in order to create the fade effect.
OA3 is configured as a comparator with hysteresis in order to change the direction of the integrator when it reaches it minimum or maximum target voltage. Resistor divider R6/R7 sets the upper limit when integrating upwards while R8 is added into the mix trough D3 when integrating downwards.
OA4 simply inverts the output of OA3.
Note that C3 has to be a bipolar capacitor. Depending on the desired speed you might need a somewhat large value (the values shown result in about 15 seconds / cycle). A simple solution would be a MLCC SMD capacitor. You can play with the values of R4/C3 to change the speed.
For larger operating voltages make sure to adjust R5 to keep the LED current in check. (&lt;= 20mA should be fine for the LM324).