I think the OP is asking if there are any recipes for a beer with little or no bitterness but some, or a lot, of hop flavor and aroma. I've not seen one, but it could probably be an interesting experiment.
It wouldn't necessarily taste sweet without bitterness-- that depends on the final gravity and amount of remaining sugars-- but it might taste out of balance, i.e. too malty, if the recipe has too much malty tasting malt. Some styles like Oktoberfest and Scottish Ales are focused on malt flavor and modest bitterness, but also have little hop flavor and aroma.
Maybe a light lager or ale? I bet there's some kind of mix that would work. Of course, it sounds like you'd be approaching BMC territory...
-Steve