Did any country in recent century successfully transitioned from parliamentary to presidential Republic (both of them reasonably unambiguously democratic - I'm pretty open as far as inclusiveness)?
Yes, France did in 1958.
The current French fifth Republic is a semi-presidential system which replaced the previous parliamentary system in 1958.
The Fifth Republic is the fifth and current republican constitution of France, introduced on 4 October 1958. The Fifth Republic emerged from the collapse of the French Fourth Republic, replacing the prior parliamentary government with a semi-presidential system.
Yes Nigeria did. The fourth republic is the current republican constitution of Nigeria. The fourth republic of Nigeria emerged due to the collapse of the third republic. In-fact, Nigeria has undergone through various changes of political systems ranging from the Monarchical system - The Modified Monarchy-Parliamentary System-Military System- and finally, the presidential system in which it currently operates.
In a short period between gaining independence and https://en.wikipedia.org/wiki/1993_Russian_constitutional_crisis Russian Federation was more of a parliamentary republic, at least on paper. The president wasn't happy about it and used some tanks to literally destroy the parliament and turn Russia into a presidential republic.