They were probably just popular around my birth year and therefore I've been exposed to them a lot amongst my cohort.
https://www.wolframalpha.com/input?i=Melissa
https://www.wolframalpha.com/input?i=Brittany+&assumption=%7...
Or how about the most common male name - https://www.wolframalpha.com/input?i=Michael
Or Jennifer - https://www.wolframalpha.com/input?i=Jennifer - and if this song is something that is a "yea... I recall that" - https://youtu.be/1nN_5kkYR6k (There were four Jennifers on a small rural school bus that I took to school in the 80s)
edit: This might have been it, trying to find it within edit window https://randalolson.com/name-age-calculator/
Girls: https://youtu.be/qVh2Qw5KSFg
Boys: https://youtu.be/WQv99sEPDsw
The thing about this is that it shows that its not some other name becoming dominant, but rather that names are becoming more distinct - fewer children born with a certain given name each year.
For example, 1997 (the last year of Michael being the most common boy name) it only had 1.88% of total births - while in 1967, Michael accounted for 4.63% of total births.
Girl name popularity changes more rapidly than boy names.
The other "this is kind of interesting" is that similar names (e.g. names that start with an L) have similar popularity.
https://namerology.com/baby-name-grapher/
You can see the "less common names are more common" with the shape of the graph there since the SSA data is only for the 1000 most common names. That the total is smaller indicates that there are more names beyond the 1000 most common that are becoming more prevalent overall.
That tool lets you clearly see that "Luke" and "Lucas" have a similar shape. Michael and Michelle (F) had a similar peak too.
Another interesting one to look at is the name "Leslie".