I know this is opinion, but since there are people who confuse opinion with fact, why not do a subjective ranking based on how willing people are to name their child after the characters?
1) Grayson (66th most popular boy's name between 2010-2017 with 49,323 registered with the SSA)
*I acknowledge I'm cheating here as Richard places at 138 with 22,540 boys registered with that name
2) Jason (76th most popular boy's name between 2010-2017 with 42,981 boys registered with that name)
3) Damian (110th with 28,189 boys named after him, and oddly, this is the one name that can be directly correlated in popularity with the character)
4) Timothy (131th with 23,670 boys registered with that name)
5) Stephanie (not how I'd rank her, but her name's prime is in the past, only 13,884 girls were blessed with the defender of all things purple moniker between 2010-2017 putting her at 182 in name popularity)
Neither Carrie nor Helena made the US Social Security Administration's top 200 most popular names for this decade.
What's really fun—at least if you're a Damian fan or hater trying to figure out why Damian appears in everything, is all over the place, and writers and editors avoid saying negative things about him—is tracking his name's skyrocketing in popularity. In 2013, after his death in May, Damian spelt with an a shot to the top 100 boy's names in the US for the first time ever. Keep in mind, the plan was for Damian to stay dead as sites like this and other fandom places were full of his haters. Never mind that his comics were top sellers, and his presence in a comic guaranteed it would see a boost in sales, DC thought and planned on him staying dead. Hence, Harper Row's staring role in the Eternals.
As for me, Damian got me into comics, but I used to read all of the vintage Batman/Detective Comics/New Teen Titans as a munchkin, and bawled like the small child I was when I found out that the twenty odd bucks I and my various family and friends had scrounged up to save Jason hadn't worked so...
1) Jason. I just reread Detective 400 and remembered how much fun it was to roam the neighborhood parks and playgrounds with the neighbor kid pretending we were Jason and Talia. Jason's the only Robin to require me getting a tetanus shot, so he's obviously the best despite my adoration of Damian.
2) Tied between Dick and Damian. Classic Dick is so much like Damian at times it's hysterical. The fact that Bruce frequently randomly forgets about them for months at a time just is icing on the cake. Thanks to the joy of Comixology sales, I own most of Dick's appearances. Damian's the only one I generally pay full price for.
3) Stephanie. I loved her Robin/Spoiler solo, it's a shame they killed her off to promote her milquetoast sidekick. The book nosedived after she was written out of it, and looking at comichron.com, it appears I'm not the only one who felt that way.
4) The WAR kids. Boring book, but mildly entertaining.
5) Stephanie's sidekick, tied with Carrie, who's pretty cool but trapped inside Millerverse with the not so secretly a child molester Bruce Wayne. Luckily, she's a girl so she stayed safe in that regard unlike poor Jason and Dick.
https://www.ssa.gov/OACT/babynames/d...ames2010s.html
http://www.behindthename.com/name/ja...0&type=percent