I used to solo Apollyon NW a lot, till I teamed up with another blm and now we duo it ftw. As far as I know, it is the most rewarding solo run if you're looking for Ancient Beastcoins, and it can get your the BLM's item for Apollyon to upgrade your AF.
http://wiki.ffxiclopedia.org/NW_Apollyon Note: All the mobs link, except the bosses. Careful when pulling.
1st Floor Kill the Bardhas untill the vortex to the 2nd floor open. They take a bit to kill, but unlike normal ghosts, these are susceptible to Sleep (and gravity, and bind), so there shouldn't be any problem. You can kill Pluto (this floor's boss) using the HP/MP chest if you want a shot at the BLM AF+1 material, but if you're there only for coins, don't bother.
Watch this video to see how it's done. Pop the time chests, HP/MP chest and move on to the next floor. Bardhas have a terrible drop rate concerning coins.
2nd Floor You'll fight buffalos here. They're quite squishy against magic (Sleep, Bind and Gravity work), but they hit awfully hard and have a great movement speed. You'll have to sleep or bind after your nukes. It is also possible to solo this floor's boss, Zlatarog, as BLM.
Again, you can watch Whimsical do it here. Keep killing them untill the vortex open, then pop the time chests, HP/MP chest and sleep your way to the next floor. Coins drop rate is as bad as Bardha's.
3rd Floor Again, your goal on this floor is to open the vortex as fast as you can because the Bugards have a bad coin drop rate too. Luckily, these have half the HP of the buffalos and are very, very easy to kill (Sleep, Bind and Gravity work). Unfortunetaly, this floor's boss, Millenary Mossback, is the one dropping the BST AF+1 material and there's no way a solo blm can handle it. Open time chests (one is behind the boss, but you can get it without aggroing if you're careful), HP/MP chest, head to the next floor.
4th Floor Ah, finally some mobs worth killing. There's 5 wyverns on this floor and they will drop 2 coins each. They have 5000 HP, which isn't much, and are susceptible to Sleep, Bind and Gravity. Only thing you have to be careful about on this floor is the boss, Cynoprosopi. He's a weaker version of Fafnir, but still too hard too for a solo blm (I think, haven't tried). His roaming zone is very, very big, so keep your eyes open for him. He doesn't link with wyverns. Open time chests, HP/MP and head to the last floor once all the wyverns are dead.
5th Floor The reason why it's best to speed through the first 3 floors lies here. On this floor, you have 4 ennemies. 3 Kronprinz Behemoth and 1 Kaiser Behemoth. The Kaiser, you don't want to fight him solo. He's got too many HP. The Kronprinz, however, have only 7000 HP. Even if they are immune to sleep and stun, gravity and bind work nicely on them, making it possible for a solo blm to kill them. Each of them drop 5 or 6 coins. 2 BLMs can kill Kaiser, or a solo RDM, but 1 BLM just doesn't have enough MP to see it through. Kill the Kronprinz till they're all dead or you ran out of time.
If you get all the Wyverns and all the Kronprinz (need a bit of luck with the vortex on the first floors tho), you'll have a garanteed 25+ coins run. Good nuking and enfeebling gear are required, as well as some merits, to be able to kill the Bardhas and Buffalos without having to rest your MP halfway through.
Well, there it is! I hope someone else knows how to solo a Temenos zone with the possibility of getting the BLM AF material and is willing to share, that way you can upgrade your AF on your own.
Edited, Jul 24th 2007 11:18am by Zachiel