I personally do not like the game. It's a horrifying grind with a continuously expanding collection, which is more grinding.
However, on the subject of pay2win...
The only things in the game that you MUST pay for:
Storage expansions.
Being able to get everything in less than a year. (Cubit items cannot be traded and you only get so many a day)
Patron. Possibly the only thing that can be called pay to win.
The things that SOMEONE must pay for, but are fully capable of being traded (unless introduced in chaos chests):
Some ships, sails, mounts, wings, mag riders, name change, and inventory expansions.
Additional heart-o-phones.
The things that someone would normally have to pay for, but are often available (rarely) from chaos chests:
Costumes, pinatas, golden keys.
The things that you may pay for with either real money or the in-game cubits, or earn in some other way:
Classes, flasks, some mounts, anything else under the 'goods' section not mentioned above, including chaos chests.
The things that you cannot purchase in the store with either cubits or credits, and must earn by playing the game:
All pets, some mounts, mag riders, ships, sails, dragons, wings, shadow styles, and event/seasonal items.