(.+)? (optionally match one or more characters)
should be
(.+?) (match one or more characters non-greedily)

For example,

$saved_page = <<'__EOI__';
</a><br>Haunted Woods 1.13 WC Piece<br>&nbsp;<b>
</a><br>Moo Moo 1.23 WD Piece<br>&nbsp;<b>
</a><br>Foo Bar 1.14 WC Piece<br>&nbsp;<b>
__EOI__

push (@items, $1)
   while $saved_page =~ m#</a><br>(.+?)<br>&nbsp;<b>#g;

print("$_\n")
   foreach @items;
[download]

outputs

Haunted Woods 1.13 WC Piece
Moo Moo 1.23 WD Piece
Foo Bar 1.14 WC Piece
[download]

Update: If there can be newlines, don't forget to use /.../gs instead of /.../g.