My suggestions:
1) Beat all games to get most of the "Honor" monument. I'd suggest doing Sorrow's and one title of your choice
2) Mini pets are easy. Just buy the cheap ones. the Black Moa Chick is also a good idea as you can use it as an excuse to beat sf.
3) Heroes and Pets aren't difficult. It's usually as simple as buying the armor off of other players, dedicating MOX for free, and using the Black Moa as an easy statue.
4) Armors aren't too hard. If you have 5 chars with prestige armor, your done

5) Dweps or Tweps are hardest imo, It seems to be generally +/-30k for a wep on the market. If you buy your mats in stacks then 25k approx depending on diamond and onyx prices. I'd suggest doing dungeons and farming granite to negate costs.
I personally need some suggestions for the destroyer weapons.
*added note: If you have a raptor farming char, I'd highly suggest making use of it to get 1) $, 2) the max asuran title for "Honor", and 3) possibly for the asuran armor.