Two fast-rotating pulsars have been discovered at high Galactic latitudes in the course of a systematic survey with the Arecibo telescope. PSR J2235 + 1506 has a period of 59.7 ms, a small magnetic field, and a spin-down time scale in excess of 10(9) yr. It is only the third such object known (outside of globular clusters) which is not a member of a binary system. PSR J2317 + 1439 is a 3.4 ms pulsar in a 2.46 day orbit with a approximately 0.2 M. companion. Its orbital eccentricity e = (1.2 +/- 0.8) x 10(-6) is, to our knowledge, the smallest known for an orbiting object of any kind. We briefly discuss some characteristics of the rapidly growing sample of ''field'' millisecond pulsars.