While you may not like them, they are a safety feature, designed for YOUR safety, so people see without doubt you are turning. Deleting safety features from a car is not a good idea IMO
I'm actually replacing mine in part because of safety, and secondly for looks.
...the stock ones do NOTHING for safety, as you mention. But that's what I want to add.
My old car had lights in the side mirrors, so cars next to me could see my turn signal. The fender lights on the Civic only come on with the headlights, and I totally agree that the big orange light isn't pretty.
So I found an LED set on Ebay that were $30 for the pair, plug in, and then have an extra wire that you run to your turn signals.
That means they glow white with your headlights (which was when the OEMs glowed orange), and then they have amber LEDs that flash when your turn signals are on.
And they are smoke tinted, so they match the blacked-out aesthetics of my Civic Sport hatch.
And there were like 30 sellers on Ebay with something similar.
No reason you can't have better looks AND more safety!
Looks like they have them in clear versions, too - this is a good picture to show what they do: