We have used the Very Large Array (VLA) FIRST survey and the Automated Plat
e Measuring Facility (APM) catalog of the Palomar Observatory Sky Survey I
(POSS-I) plates as the basis for constructing a new radio-selected sample o
f optically bright quasars. This is the first radio-selected sample that is
competitive in size with current optically selected quasar surveys. Using
only two basic criteria, radio-optical positional coincidence and optical m
orphology, quasars and BL Lac objects can be identified with 60% selection
efficiency; the efficiency increases to 70% for objects fainter than 17 mag
. We show that a more sophisticated selection scheme can predict with bette
r than 85% reliability which candidates will turn out to be quasars. This p
aper presents the second installment of the FIRST Bright Quasar Survey (FBQ
S), with a catalog of 636 quasars distributed over 2682 deg(2). The quasar
sample is characterized and all spectra are displayed. The FBQS detects bot
h radio-loud and radio-quiet quasars out to redshift z > 3. We find a large
population of objects of intermediate radio loudness; there is no evidence
in our sample for a bimodal distribution of radio characteristics. The sam
ple includes similar to 29 broad absorption line quasars, both high and low
ionization, and a number of new objects with remarkable optical spectra.