Here in the U.S. I would expect most of the larger species of Lucanidae (Lucanus, Dorcus, Ceruchus) to be taken primarily at lights, including bucket light traps. As for the smaller species - I only have experience in the eastern U.S., but I have seen frequent specimens of Ceruchus and occasional Platycerus in Lindgren funnel trap samples. These genera are more speciose in the West and other genera like Playceroides and Sinodendron occur there, as does the closely related Diphyllostomatidae. I do not know how those taxa respond to traps, if at all. The other genus in the eastern U.S., Nicagus (one other species in Texas) must be collected by hand, in my experience, along sandy bars of small creeks and streams very early in Spring.
Below is an image of a Lindgren funnel trap - they can be used unbaited, but work better baited with ethanol, or alpha-pinene if one is after conifer feeding species. The two lures are often used together on the same trap.