I'm not sure either are correct. It would better one of these ways: "I still have great expectations." "I had and still have great expectations." "I had great expectations. I still do."

For me the first one is correct. You start with the past tense of Have and you end with the present tense of the same verb. It makes sense.

in my opinion , the first sentence is true. we cant say " i had great expectations and i still do " that doesnt make sense. but when i say the sentence " i had great expectations before and i still have them " it makes sense ..

I had great expectations and I still have.