This breaks the rules, but Frank White. He received fewer than 4% of the vote when he was up.

Per Baseball Reference, the most similar player to Frank White is Bill Mazeroski, and the most similar player to Bill Mazeroski is Frank White. Mazeroski has a slightly higher BWAR. White has a slightly higher FWAR. But Frank did not hit a famous home run.

Side note: Frank is now the executive for the Missouri county where the Royals play, and is largely seen as responsible for torpedoing a deal to build a new stadium for his former team. That should at least qualify him as ... notable.

A lot of great suggestions so far.

A couple more for the list:

Jim McCormick won 265 games, had a career ERA+ of 118, but was never on a ballot. I think he also has the highest bWAR (76.2) of anyone not in the HOF that wasn't disqualified for scandal or is associated with steroids.

Tony Mullane won 284 games, and had a career ERA+ of 117, but never received a vote. On the negative side, Mullane has the record for wild pitches with 343.

Charlie Buffinton won 233 games to only 152 losses, and had a career ERA+ of 115, but was never on a ballot.

Ed Konetchy has never appeared on a ballot. He had a career OPS+ of 123 and is 13th all-time for career triples.

The best Bob Elliot ever did was 4 votes. Elliot was a 6x All Star and won an MVP.

Willie Davis
was never even on a Hall of Fame ballot somehow, despite putting together a nice career with over 60 bWAR.

Mort Cooper and Cecil Travis were old school names that immediately came to mind. I feel that Travis should be in the Hall of Fame.

Speaking of Cecils, I've always been a fan of Cecil Cooper even though I didn't really see him play. Way back when he was at a show I was at once and was a really nice guy to everybody there.

Looks like he didn't a single vote. But he's a 3 time silver slugger, 5 time all star and he won the Clemente award. He drove in 120 plus runs three times, which was a pretty big deal in his time.

Bill Melton passed away. He deserves consideration

Rick Reuschel been mentioned a couple times. Compiled a nearly 70 WAR lifetime.

Higher then Jim Palmer in the same amount of seasons and about 400 less innings.

One of the better fielding pitchers of his time.

Had a strong case for the Cy Young in 1977.

Being on bad teams, low win% and a lack of analytics at the time certainly hurt his case.

If not for about 2 1/2 seasons of missed time in the early 80's due to injuries, he might have been in the high 70's WAR wise.

Got 2 votes in 1997 and gone.

Thanks for mentioning Bill Melton. I loved Bill Melton. My cherished memory of Bill is in the summer of 1971. My family and I had had a rough year. So it's late at night, the Sox game is on, and I have to be quiet 'cause we moved into this apartment complex. The White Sox had been battling the Yankees tooth and nail all game, and the Yanks had a two-run lead. Bottom of the ninth, the Sox get 2 on base, and up comes Bill Melton. Melton blasts a 3-run, walk off the field home run, and it's as if, things are going to be ok again. I am jumping up and down, screaming SILENTLY! Made me a Bill Melton fan for life. Man, that was some moment.

I think I'd put Bill Melton into the hall of very good. By the looks of the NET, a lot of other people must have loved Bill. It's never a good time to say goodbye to a hero that meant something to you. --- Brian Powell

Thurman Munson - All day.

That’s a great story. I have similar feelings about Derrek Lee - in 2005 I was having a rough time dealing with the breakup of a long-term relationship in December 2004. The season Lee had in ‘05 was really something else. It was a much-needed distraction.