Fuel pump relay, the soldering cracks on the circuit board inside and the
car won't start, this is the #1 no-start problem I've found.
Fuse panel corrosion, happens much more readily in some climates than
others, visual inspection is pretty easy, rolling the fuses with a finger
will usually at least temporarily cure this.
Hall sensor in distributor, this will cause both lack of fuel and lack of
spark if it fails, often gets intermittant first. Easy to check by pulling
the center wire from the distributor, and hold it near bare metal under the
hood, crank the engine and watch for a spark.
Another thing I've seen cause this problem is a corroded connector at the
fuel pump under the car, twisted it around a bit and seated it firmly and
it's been fine ever since.