Forget the terrarium, it's a more advanced method of cultivation and is completely unnecessary for most plants. It's likely to cause additional problems for plants that don't require it.
Drosera capensis and common Nepenthes like 'Miranda' and x ventrata (commonly labelled as Nepenthes alata at non-CP stores) are very good starter plants to keep on a sunny windowsill. You may also consider Drosera spatulata or if you like flowers and can find one, Utricularia sandersonii
Sarracenia make easy outdoor plants if you have a spot to put one in full sun, though you will likely need to protect them from harsh winter weather. I move mine to the garage when it gets too cold. Other outdoor plants you may consider are Drosera filiformis or a venus flytrap, though flytraps are far more sensitive to freezing temperatures than other temperate plants in my experience.