I have this debate with my dad all the time. His litmus test is "if you have to ask... NO!"
Here's one statistical way of looking at it:
By baseball-reference.com's standards, most of the non-HOF but eligible guys are from the Dead Ball era (eg Jimmy Ryan, George Van Haltren). Their highest ranked modern era non-HOF guys are Bucky Walters, Ted Simmons, Andre Dawson, Dwight Evans and Jim Rice.
They have several other litmus metrics available there, all designed by Bill James.