Edit:

This is updated. Don't look at the quoted post below me, as the stats are horribly wrong.

+20str gfather
+20str gfather
+20str anni
+18str Jewels
+15str Wolfhowl
+40str (rare rings)
+30str (rare ammy)

That gives... 163 str... Grandfather 161 with -req, so we're good.

Barbarian
55 (base)
+2(98)+4(5)(98)+4(5)(3)+20(3) (stats and quests)
+15(4) (Wolfhowl) +jah
+247(4)+198(1.08valor) +jah
+80 life (rare rings)
+40(4)(verdungo's)
+65 (waterwalk)
+175(grandfather) +9str, +8life, -15req jewel
+175(grandfather) +9str, +8life, -15req jewel
+60 (rare ammy)
+40 (sanders gloves)
+15(4) (sandstorm trek)
+20(4)(anni)
+20(39)(small charms)

5208 base life

+10% max life (jahs)
+50% max life (gfathers)
+270% life from a partied druid
+194% life from BO
+75% life (+7 lycanthropy & +7 werewolf (helm and anni))

36403.92 maximum life in diablo 2

Druid with:
+3 summon circlet
+3 hoto
+1 anni
+2 enigma
+2 sojs
+1 arach
+3 summon ammy
+2 shako
+1 shield
+10 charms
+1 battle command
Level 49 Oak Sage = +270% life

Barb with:
+2 all,
+2 battle orders - Halaberd's Reign
+1 all
+3 battle orders - CtA
+1 all
+3 battle orders - CtA
+1 anni
+2 enigma
+2 sojs
+1 arach
+3 warcry ammy
+2 shako
+10 charms
+1 battle command
Level 54 Battle Orders = +194% life

If someone will tell me how Dex factors into AR, I'll build up the highest AR possible as well.

What is it they say about silence being golden?