I would like to see our path companion take more of a role in our game.

Moghouse

Many people have requested a mog house and/or delivery system. Perhaps there can be an option in the Market Wards for Path Companion, where we can meet up with them and store things, or have things delivered.

Fighting Partner

They already fight along side us in the main story quests. Why not give us the option to have them by our side for other things such as behests, dungeons, or even just grinding?

Quests

They are already involved in the main scenario quests but I would like to see them take more of a role in side quests as well. Perhaps we can even assign our path companion tasks, or get them special abilities through quests that only path companions can acheive.

Gear/Abilities

Just a bit more from my last point, Give us the ability to get special gear for our path companion or perhaps give them an anima pool or like ability so we can use them to assist with transportation.

Arena/Training

Lots of people have asked for the gladiator arena put to more use. I'd like to fight/train with my path companion in this arena to perhaps earn special skill points abilities.

Gathering/Crafting

Perhaps our path companion can assist us in some way with crafting, or with gathering can help us scout out areas as to where to gather.

Could be many more possibilities, this is just a few I though of.