Let us take a look at the statistics below.
Republican Presidential Administrations: 120 Criminal Indictments, 89 Criminal Convictions in 28 years.
Democratic Presidential Administrations: 3 Criminal Indictments, 1 Criminal Conviction
So on Criminal Convictions alone, Republicans lead 89 to 1 over Democrats
(This does not yet include Trump’s Administration. But I’m sure that will add a few for the Republicans) The one below includes JFK and some of the Trump indictments/ convictions.