The difference between an observational study and an experimental study is whether or not the variable of interest in the study occurs naturally or outside of the researchers' control (observational) or if it was introduced intentionally and in a controlled way by the researchers (experimental).
Researchers look at patients who were previously treated for skin cancer's medical records over twenty years compared to records of patients with no history of skin cancer to see if having skin cancer once makes it more likely that you will have it again.
The researchers (for obvious ethical reasons) can't give patients skin cancer to see if having it once makes it more likely to reoccur.
Researchers split a group of patients who had all recently been treated for skin cancer into two groups. The control group received standard discharge care. The other group received standard care and attended a special "Sun Safety Class" to learn tips about using sunscreen, wearing protective clothing, and having regular screenings. Researchers then followed the two groups for twenty years to see if there was any difference in skin cancer recurrence between participants who received the "Sun Safety Class" intervention compared to participants who did not.
The researchers here deliberately introduce a variable (the "Sun Safety Class") they control to some of the study participants.
A group of researchers wanted to test the effectiveness of patient education to reduce vaccine hesitancy. They offered the class to all participants in the study, and those who were able to attend the session are the ones who received the intervention. Both groups were then asked about their thoughts on vaccines before, directly after, and one month after the class was offered. Since the intervention was not randomly assigned, and other variables were not taken into account, this study would be quasi-experimental.
The best place to search for Observational Studies is PubMed. This website makes searching for study types easy by providing filters you can use to limit your results.
You can find this filter by:
This video shows goes over the basics of accessing PubMed and using it to filter for specific article types.