I would suggest that if you want a similar sort of price you try Fred Olsen or if you can pay more Celebrity, Azamara, or even, dare I suggest, Saga. See I don't really know what you are really asking us, what you like how old you are where you'd like to go....there is so much that is relevant to the answer we could give you ....good luck anyway....Neil.
If you mean b y "relaxed" casual, try Island cruises! good value for money to.
There are lots to chose from. Believe it or not, Princess can offer freestyle cruising (just been on Grand Princess - amazing). Also NCL. Thomson are great and Island Cruises fantastic value. The days when formality was compulsory are gone.
Azamara and Oceania have open dining and no formal nights. You are talking 5*+ which is a long way up from O.
NCl cruise lines!!!!!!.... sometimes cheaper then ocean village and they have soo much more to offer!!! ocean village may have 3 restaurants where Ncl will have 11.