Let’s analyze each statement to determine its correctness:

1. Some mushrooms have medicinal properties: This is true. Certain mushrooms, such as Reishi and Shiitake, are known for their medicinal benefits, including immune-boosting and anti-inflammatory properties.
2. Some mushrooms have psychoactive properties: This is also true. Psilocybin mushrooms, often called “magic mushrooms,” contain psychoactive compounds that can alter perception and mood.
3. Some mushrooms have insecticidal properties: True. Some fungi, like Beauveria bassiana, produce compounds that act as natural insecticides, infecting and killing various insect species.
4. Some mushrooms have bioluminescent properties: True as well. Certain mushrooms, such as Panellus stipticus and Mycena chlorophos, exhibit bioluminescence and emit a glowing light.

All four statements are correct. Therefore, the correct answer is: All four