Out of town yeshivish, there are many such websites. Sawyouatsinai, frumster, the shadchan magazine, etc. Each works a little differently and has pros cons.
The problem is that not everybody is on these sites. If the Gedolim would pick one site and insist that everybody post their reusmes on it, that would be great but that won’t happen because “the Internet is assur”.
Also, these sites should be run by professional shadchanim and not allow every yenta to look through profiles. Otherwise you end up wasting a lot of people’s time. Would you go out with some random girl because some random person online who you have never met and the girl has never met thinks your profiles look compatible? Maybe if that was the only suggestion you got but if everyone is acting as shadchanim then you would probably be inundated with these random suggestions.
With the power of computers and the Internet this type of solution is possible if the gedolim would go for it… Of course, it is all in the hands of Hashem and we have to follow daas Torah.