I agree with F_F, I don't think it's ever wrong to want more. The idea F_F put forth about assignments is perfect.
To further satiate that desire, have you considered a tiered BDSM relationship? I've been in them before (only recently) and am about to enter yet another... where there are certain responsibilities and simple acts of submission you're to follow when in public or with the kids. Things like you don't call him Sir but always speak with respect. You don't lower your eyes at all times, but you do make sure his glass of water or cup of coffee is always full if he wishes.
Then, when you're alone, there is another set of rules you must follow. They're more strict.
Perhaps this is something you and your Dominant may wish to consider?