Actually, for "new" players, the Anima weapon is a very good option.
First Quest : Farm some FATEs. Yes, it's random, but it's not difficult, and you can level up another job while oding it : Reward - ilvl 170 weapon. You don't have to spend Law tome for that, great ! You can buy armor.
Second Quest : Do 10 dungeons, unsync for most of them, and the highest is The Vault. Reward - ilvl 200 weapon. For an i200 weapon, you had to grind Esoterics for more than two weeks.

Not that bad for such a weapon, even if you stop there