To answer your question-yes, you can lose weight without going low carb.
I also wanted to address the title of the thread-searching for the right diet.
That, in a sense, is actually why you failed with the low carb plan. A diet has a beginning and an end...and when you go off the diet, you gain the weight back.
When youhave a weight problem, the key is to make permanent lifestyle changes-because if you continue with what you are doing for life, then the weight will not come back.
Some people do very well on low carb, some do well on a plan that lets you have CERTAIN carbs like South Beach, and yet others do well on plans that let you have all foods-but in smaller portions-such as Weight Watchers and calorie counting. The right diet, honestly, is different for everyone. The right one is one that YOU, as an individual, can make into a lifestyle change.
That is the key.
My advice would be to research different plans, and see what they entail. Figure out what plan that you can stick with for life, so that you can keep the weight off.
(I am a calorie counter and avid exerciser...and it has always worked for me.