I have used neem oil, dish soap, cayenne pepper mix with limited results.
I will be trying Hydrogen peroxide next, I gave up on the spray mix and have been washing the plants under warm water massaging the leaves and stems.
The mix was sticking to the leaves too much and should be rinsed, however I found that just rinsing the plants in the first place was better for the plants.
I eventually gave up on two of my pepper plants and terminated them.
I get them on my cilantro and parsley too but can cut them back and rinse.
I totally agree bower that
"I don't consider aphids a sign of ill health on indoor plants"
These bastages remind me of the replicators on Stargate SG1.