I'll try to answer that one.
Goalies are pretty underrepresented, so I'll go easy on them as a whole. I'll copy the lists that were provided and just rank them.
1. (List 1 - HHOF already) Patrick Roy - 4 Stanley Cups, 1-time Cup finalist, 3 Smythes, 6 All-Stars (4-1st, 2-2nd), 1 Hart runner-up
2. (List 1 - HHOF already) Ken Dryden - 6 Stanley Cups, 1 Smythe, 6 All-Stars (5-1st, 1-2nd), 1 Hart runner-up
3. (List 1 - HHOF already) Bernie Parent - 2 Stanley Cups, 2 Smythes, 2 All-Stars (2-1st), 1 Hart runner-up
4. (List 1 - HHOF already) Tony Esposito - 2-time Cup finalist, 5 All-Stars (3-1st, 2-2nd), 1 Hart runner-up
5. (List 1 - HHOF already) Billy Smith - 4 Stanley Cups, 1-time Cup finalist, 1 Smythe, 1 All-Star (1-1st)
6. (List 1 - HHOF already) Grant Fuhr - 4 Stanley Cups, 1 Canada Cup, 2 All-Stars (1-1st, 1-2nd), 1 Hart runner-up
7. (List 1 - HHOF already) Ed Giacomin - 1-time Cup finalist, 5 All-Stars (2-1st, 3-2nd), 1 Hart runner-up
8. (List 2 - not in HHOF) Tom Barrasso: 2 Stanley Cups, 3 All-Stars (1-1st, 2-2nd)
9. (List 2 - not in HHOF) Rogie Vachon: 1 Stanley Cup, 1-time Cup finalist, 1 Canada Cup, 2 All-Stars (2-2nd), 1 Hart runner-up
10. (List 1 - HHOF already) Gerry Cheevers - 2 Stanley Cups, 2-time Cup finalist
11. (List 2 - not in HHOF) Mike Vernon: 2 Stanley Cups, 2-time Cup finalist, 1 Smythe, 1 All-Star (1-2nd)
*********Here is where the HHOF cutoff should lie, IMO **************
12. (List 2 - not in HHOF) Bill Ranford: 1 Stanley Cup, 1 Smythe, 1 Canada Cup
13. (List 3 - presently being discussed) J.S. Giguere: 1 Stanley Cup, 1-time Cup finalist, 1 Smythe
14. (List 2 - not in HHOF) Pete Peeters: 1-time Cup Finalist, 1 Canada Cup, 1 All-Star (1-1st), 1 Hart runner-up
15. (List 2 - not in HHOF) Mike Richter: 1 Stanley Cup, 1 World Cup
16. (List 2 - not in HHOF) John Vanbiesbrouck: 1-time Cup finalist, 2 All-Stars (1-1st, 1-2nd)
17. (List 2 - not in HHOF) Ron Hextall: 2-time Cup Finalist, 1 Smythe, 1 All-Star (1-1st)
18. (List 3 - presently being discussed) Chris Osgood: 2 Stanley Cups, 1 All-Star (1-2nd)
In conclusion, Vachon, Vernon and Barrasso should probably be inducted. Two of them are better than Cheevers, who is already there. I wouldn't remove Cheevers, though. Other than that, they've got it right. And this kind of shows where Giguere sits in my mind. Get ahead of Vernon and you're HHOF-caliber.