Port Forwarding on Cisco Pix 506E

D'oh! Sorry about the typo in the ACL, got in a hurry.  It should instead read:
access-list outside_in permit tcp any host 1.1.1.1 eq 443

>I have lots of other static 1-to-1 static NAT addresses configured.  Will those be gone when I run the clear xlate...
  Nope.  'clear xlate' doesn't mess with your config, it just clears the current NAT translation table that the PIX currently has in memory, to ensure correct behavior, & so you don't get a "duplicate entry" error.

> static (inside,outside) tcp interface 443 3.3.3.3 444 netmask 255.255.255.255
> In other words anyone trying to access port 443 out of the range of public IP's assigned to the PIX would be directed to port 444 on 3.3.3.3, am I right?
  Actually, no.  The 'interface' keyword simply means the actual IP of the outside interface.   For example, given the following:
  ip address outside 68.2.2.2 255.255.255.0
  static (inside,outside) tcp interface 443 3.3.3.3 444 netmask 255.255.255.255

The static statement above would map port 443 to the single IP 68.2.2.2, since that's the actual IP of the interface.
   And, once again, due to the rules of the PIX's security algorithm, you can't map multiple outside IPs to the same port on the same internal host IP.  The workaround for this would be to configure additional IPs on the inside target server, so it answers to multiple IPs, eg: 3.3.3.3, 3.3.3.4, 3.3.3.5, etc.
   Then create several individual static NATs like so:
static (inside,outside) tcp 89.1.1.1 443 3.3.3.3 444
static (inside,outside) tcp 89.1.1.2 443 3.3.3.4 444
static (inside,outside) tcp 89.1.1.3 443 3.3.3.5 444  ... and so on
clear xlate
   And create ACL entries like so:
access-list outside_in permit tcp any host 89.1.1.1 eq 443
access-list outside_in permit tcp any host 89.1.1.2 eq 443
access-list outside_in permit tcp any host 89.1.1.3 eq 443

  Just note that if you want to setup the above, make sure you're not using those public IPs (89.1.1.1-3) in a 'global' statement.  eg, if you have something like this:
global (outside) 1 89.1.1.1-89.1.1.10 netmask 255.255.255.0
nat (inside) 1 0.0.0.0 0.0.0.0 0 0

  ...you'd have to remove those 3 IPs from the NAT pool before assigning the statics above, since you don't want overlap, eg:
no global (outside) 1 89.1.1.1-89.1.1.10 netmask 255.255.255.0
global (outside) 1 89.1.1.4-89.1.1.10 netmask 255.255.255.0
...( add new static entries here )...
clear xlate

cheers