It seems weird that the Falcon 9 only includes numbers for "v1.2"(I'm assuming this is block 4/5?), while other vehicles don't have the same granularity. Also IMO it should count as a failure to blow up on the pad and destroy your payload, even if it's before the launch.
Perhaps you mean world's most reliable currently active launch vehicle? At your link, I see the retired Atlas 2/2AS also had a perfect record, with more attempts (63 successes of 63 attempts).
http://www.spacelaunchreport.com/log2018.html
Vehicle /Attempts Est* 95%CI* Succes Fail
================================================================
Falcon 9 v1.2 42/42(D) 0.98 0.90-1.00 42 None 2015-
Atlas 5 77/78 0.98 0.92-1.00 68 06/15/07 2002-
Delta 4M(+) 27/27 0.97 0.85-1.00 27 None 2002-
Soyuz-FG 54/55 0.96 0.89-1.00 0 10/11/18 2001-
Ariane 5-ECA 65/67 0.96 0.89-1.00 2 01/25/18 2002-