I've tried probably a dozen brands. Counter-intuitively, I found that the sharpest were the ones least likely to cut, because you apply so little pressure (and maybe because they notch the hair immediately, instead of sliding down to the skin). Feathers are easily the best at least in my experience, beating even the "premium" offerings from Gillette and Wilkinson and making it easily worth the (rather large) premium; not only are they sharp but they stay sharp almost forever - I've occasionally had several weeks' use on a single Feather.

I cut myself all the time with the cheap no-name Israeli blades (rebranded Personna?), so called it a false economy. Not impressed with Astra either. YMMV - softer hair doesn't require as much cutting.