"Soul without Life" how do.

[Moomba33]

The Anima weapon questline is very long. I don't recommend doing it this late in the expansion unless you really love how the weapons look.

Other options for weapons:
-check the marketboard. Crafted weapons go up to i250.
-Try the level 60 PVP modes. You can buy an i235 weapon for 4000 wolf marks from an NPC called the Disreputable Priest on Wolve's Den Pier. (Need i150 overall to participate in level 60 PVP).
-Try the Palace of the Dead. If you get your Aetherpool Weapon and armour up to 30 points each you can trade them for an i235 weapon to use in the main game. This can be upgraded to an i255 weapon for 60 more aetherpool weapon and armour points.

There are other options for higher ilevel weapons but they also require a higher overall ilevel to participate.
Clearing Alexander Normal can get you tokens for the Lore (i230 upgradable to i240) and Scripture (i260 upgradable to i270) weapons.
Extreme primals go up to i265 weapons from Zurvan and Alexanander Savage gives i275 weapons for clearing the final tier. However it may be hard to find a group to learn these fights with this late in the expansion.

I recommend sticking with crafted/PVP/Palace weapons at this point as they should be good enough to start Stormblood with.