"Remarkable parallels" means that there are significant similarities or resemblances between two or more things or situations that are surprising or extraordinary. Full definition
This very interesting manuscript describes remarkable parallels between planarian photosensitivity and that observed in human porphyrias. (elifesciences.org)
For Kershenbaum, wolves and dolphins show remarkable parallels with each other in social behaviour, intelligence and vocal communication — all comparisons that extend to humans. (sciencedaily.com)
In fact, the UK's referendum on EU membership, to be held on 23 June, shares a number of remarkable parallels with Spain's in - out NATO referendum, held thirty years earlier on 12 March 1986. (blog.politics.ox.ac.uk)