94 honda accord automatic.

my car seems to show a pattern of problems relating to
starting up.  When I start it, it would start up and die.  It would
take numerous turns before it would start.  It hasn't died on me yet
while I'm driving, fortunately.  Only when I have to start it after I
had shut off the engine.  In these 2 years I've had to replace:
1) distributor
2) starter
3) got a new battery installed 4 months ago.

I'm thinking of replacing the alternator and charger.  Any other
recommendations?