The Reds will make another appearance on ESPN when the Mets host the Reds on Wednesday, July 7. This is the first Reds road game on national TV since at least 2008.
Monday, April 5 - St. Louis @ Cincinnati - ESPN
Wednesday, June 2 - St. Louis @ Cincinnati - ESPN
Wednesday, July 7 - Cincinnati @ New York Mets - ESPN
Saturday, July 31 - Atlanta @ Cincinnati - FOX
The Reds made three appearances last season on national TV, none of which were road games.
(I am not including MLB Network as a national TV network)