The ability to understand other living beings and connect with nature is associated with natural intelligence. Have you seen people working with animals in zoos comfortably and wonder how they do it? Naturalist intelligence.
The capacity to discern sounds, pitch, tone, and timbre is musical intelligence. Do you find yourself observing the tiny details of the composition you are listening to? You might be gifted with musical intelligence.
Understanding fellow human beings and how to respond to them better falls under interpersonal intelligence which is much needed in the jobs that involve managing networks and communicating with a lot of people.
Intra-personal intelligence is the capability to understand your feelings and your needs. It allows you to work better with yourself.    
Logical-mathematical intelligence is the aptitude to process numbers and logic. IQ tests primarily measure this type of intelligence. Problem-solving and reasoning come naturally to people with this intelligence.
Are you capable of effectively communicating with other people about your thoughts through words? Then you have a good level of linguistic intelligence. Professions like writing, advocacy, and leadership in any field will fit you.
Bodily-kinaesthetic intelligence is the capacity to coordinate your mind and body. The grace of sportsperson and dancers stem from this intelligence.    
Understanding how learning happens and the ability to come up with ways to make others learn, fall under pedagogical intelligence. Great teachers like Dr. Radhakrishnan and Dr. APJ Abdul Kalam, had this kind of intelligence.
Existential intelligence denotes the ability to look beyond the insignificant and understand the world around them. People with existential intelligence are more equipped to see the bigger picture.