Bees on the other hand pretty much require just a bit of patience. When flowers are in bloom they tend to go from flower to flower to collect pollen. Once they land it is just a matter of taking the picture. A macro lens can be your best friend in these cases but I have used zoom lenses and cropped images also.
Here are a couple of pictures of a bee I took last year according to my image information. I was using a manual lens at the time on my Pentax DSLR. Even though I was in manual mode I still had time to get these pictures.
With my macro lens I would have been able to get a closer look at the bee but I was looking to capture the flower and the bee as shown above.
The next shot was pure luck I think. I saw this insect on the screen door of our kitchen and just happened to take several pictures from several angles. This picture is the one I like best.
In regards to this image there are a couple things I want to note. One, it looks like I am getting an expression from this little bugger like "What the heck you looking at?" Two, this is an example of not having set the depth of field properly. When I look at this picture I notice the tail end of the insect is out of focus. Had I manually set the aperture to a larger setting I may have had an image of the insect that was crisp from front to back.
You can learn from my mistake, I know I have.
Your Tips are welcome, feel free to post it in the comment section below!
Enjoy Life, Take Pictures!
P.S. Added Zoom and cropped image.