Sound like you may want to use eval for this, and die instead of next:

foreach (@a) {
  eval {
    die 'reason1' if check_condition1();
    do_some_stuff();
    die 'reason2' if check_condition2();
    do_more_stuff();
    die 'reason3' if check_condition3();
    play_solitaire();
    do_something_if_all_ok();
  };
  # a *real* error, if it doesn't start with 'reason'
  die if $@ && $@ !~ /^reason/;
  # save reason; you never know what other evals happen
  my $reason = $@;
  # usual continue code here
  do_something_always();
  if($reason) {
    only_if_reason1() if $@ eq 'reason1'
  }
}
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You may want to die with an object of some kind, to easily distinguish between 'real' error, and your type of conditions.

Update: corrected the die regex to Do The Right Thang