I guess everyone is different, but for me relationships that start out platonically...end up platonic. If nothing happens in the first 3-5 dates...nothing ever will really. I realize that's part of "dating" culture too -- but there is also something behind it -- if I'm REALLY attracted to someone, I'll put the moves on earlier (or they will etc).
What I have had good success in -- and there is something to this I believe -- is meeting romantic partners in similar interest social circles that appeal to both (or however many there are now) genders. You meetup with others of similar interest for a couple of hours once a week, natural attraction forms, if both are interested the independent romantic meeting will happen naturally. The dating nature of it is all -- hidden (and in fact I didn't go into these meetings planning to date anyways).
It's hard to bottle that up exactly into an app though.