I'm assuming you're talking about cold approach. Can't guess as to daygame or night game.
Nobody here will have anything that you can't find all over teh web with 'infield' footage and various Pickup products and Ebooks etc
Issue though is that basically all of the stuff you will 'learn' is either complete common sense, OR, if you are learning from certain 'sources' will likely just do more harm than good (such as how a Ross Jefferies book might advice you to say something ultra cheesy straight after teh open like 'Isn't it funny how you can meet someone and....straight away....there's a powerful connection....inside of you....it's like when you're attracted. To me, I experience this from time to time). Or how mystery might advice to 'neg' a girl about her fake nails and then tell a 'dhv' story about your model ex girlfriend after your opener (the transition).
Just two examples there of cringy stuff you'll read about what to say after the open from people who are no more successful with women than me or you or anyone else
Roosh got a mention before. Again, I'd wager the average guy is as 'good' as him. He has almost no infields, but of the one I saw, it was embarrasing.
Certainly don't buy his Ebook, although if you really want to read it, just download it or ask me if you can't find it for some reason (should be easy).
But to save you the time, it's basically relying on 'elderly openers'. Idea being to not scare the cat. Open like an old man would.
‘elderly’ openers which consist of very basic questions and impersonal rambling until you drop your ‘big bait’ in order to get her to ask you a personal question at which point you know she’s interested. A piece of ‘big bait’ is simply an interesting anecdote from your life. For instance, if you are in a bookstore and start a conversation with a nearby girl about the book in her hand, after rambling on generally about books and bookstores, you will say something like ‘when I was in South America, there were very few bookstores and the only ones you could really find were mom and pop stores with used books from decades ago.’
You'transition' after with GALNUC, a series of questions:
G — By the way, are you half German?
A — By the way, how old are you?
L — Where do you live?
N — By the way, what’s your name?
U — So where do you usually hang out?
C — Well you seem cool do you want to grab a drink sometime and chat some more?
That's basically everything you need to know about his book (although, again, I don't think roosh would have anymore success with cold approach than a random man off the street assuming they looked identical)
In terms of general advice you'll find that sort of covers a number of PUA 'models' (london daygame model and also a lot of ToddV day/night game stuff), the most common thing to do after the open would be to make assumptions and cold reads etc. But as with most stuff, you'll find it's no magic bullet....at all.
I guess that takes me to my real answer which is that ,there really IS nothing that is some conversational hack. Lots of people who know everything there is to know about game still get ignored and rejected and fail to 'hook' many many sets.
That's because it's all kind of irrelevant. That goes for 'game' in general, to be brutally honest.
You mention 'so what's your story' or maybe saying something lke 'how's your night going' or whatever, but you worry it's asking too much compliance or maybe it's too 'boring' and not gamey enough maybe. But assuming she is attracted to you, it's absolutely fine. She'll talk back, contribute, ask you stuff and before you know it you're chatting. In some ways it's better than something you might read about in a PUA book as there's no risk of making her think you're an odd ball like she might with some 'NLP' transition lol.
When you get rejected or fail to 'hook' the set after the opener or whatever, i'd argue that there's no other sentence that would have changed the result. This is why you see so many pro PUA's get rejected non stop too.
If you are her type, basically everything will work. And If she's not interested/attracted nothing will work - it's basically just not going to 'hook' with that girl. Roosh can't help you in that instance, and if she IS into you, you don't need his help anyway!
I've experimented so much over the years with all kinds of stuff and i've almost gone full circle at this point and my 'game' would likely be the simlar game verbally to a normal socialised dude who've never heard of game. So 'how's your night going?' or 'what's your name?' after opening a girl at night in a bar might be my 'transition' for example.