What is my sexuality if I am sexually and romantically to the opposite gender but only aesthetically or romantically to the same gender, am I bi-curious or is there another "term" for such a case?

Aesthetic attraction can be experienced by anyone for anyone, it doesn't determine one's orientation. However, people have both a sexual orientation and a romantic orientation, which in most cases coincide, but not always. If you experience sexual attraction only for the opposite gender, and you experience romantic attraction for opposite and same gender, that would make you a bi-romantic heterosexual.

How you choose to define your sexuality is completely up to you. If you feel comfortable as "bi-curious" that is perfectly fine. There are also more technically precise alternatives to label what you described. For instance, you could use the term "biromantic heterosexual." To fully expand on that, "biromantic" basically means that you feel romantic (although not necessarily sexual) attraction to two (or more) genders. "Heterosexual" simply means sexual attraction to the opposite gender. All of that being said, labels exist for the sake of better understanding & communicating how we feel. So, what's most important is that you are comfortable with the words you choose to describe your sexuality.

I’m going to break this down piece by piece since I think that’ll be easier. But first, remember that you don’t have to have a label and that if these don’t feel right for you, then you don’t have to use them. Sexual attraction towards the opposite gender is heterosexual. You mention feeling romantically attracted to the opposite gender and the same gender. This would be biromantic, or romantic attraction to two genders. Bi-Curious refers to people who are open to experimenting with genders that are different than theirs, but aren’t sure if they could form a relationship to other genders. In your case, you would be bi-curious if you were open to hugging, kissing, etc. with the same gender and the opposite gender, but aren’t sure if you could see yourself with a same-gender partner. I hope this was somewhat helpful to you, but remember, labels aren’t necessary for you to be who you are, and you are valid regardless.

I think you could be heterosexual and biromantic (heterosexual flag with a bisexual heart in the center). Only you can know for sure however (annoying I know, I've been there) but you could do some research and figure out what you most relate with. It can also change over time, and once you find a label you don't need to stick with it forever, or even feel obligated to have a label. And, it can take a long time to fully commit, so try not to feel any pressure to figure out your sexuality immediately. Hope this helps! :)