Sharp EL-9300 Graphics Calculator, 296 bytes
This was my secondary school graphing calculator, getting on for 20 years ago! in the early '90s. I remember writing a mandelbrot generator for it way back then. And sure enough, its still sitting there in the NV memory:
ClrG DispG Range -2.35,2.35,.5,-1.55,1.55,0.5 y=-1.55 Label ly x=-2.35 Label lx n=1 zx=0 zy=0 Label ln tzx=zx²-zy²+x zy=(2*zx*zy)+y zx=tzx If zx²+zy²>4Goto esc n=n+1 If n<20Goto ln Label esc If fpart (n/2)=0Goto npl Plot x,y Label npl x=x+.05 If x<=2.35Goto lx y=y+.05 If y<=1.55Goto ly Wait It took about 90 minutes to render. Only 20 iterations, but at this resolution it probably doesn't make much difference.
This is totally ungolfed. I'm sure I could save a bit of space, but I just wanted to share this historical curiosity!.
I love that the only control statements available are ifs and gotos.
Here's a photo. I don't have any other means to get the graphical output out: 