In fact, there is a whole genera of flies known as bee-like robber flies. They typically are described as having a “beard” on their face. Personally, I’d say it was more of a Vandyke goatee–but why quibble.
Robber flies are predatory flies, and can often be seen on a perch, looking for their next victim. If you see something that looks like a bee lounging about on a leaf, it’s likely to be a robber fly.
You can find some truly amazing photos of a bee-like robber fly and it’s prey at CirrusImage.
Thanks to Ben.Lease for this photo!