What do you mean by standard? The
Rider-Waite deck is usually what comes to mind, and just about all tarot decks follow that format of suits and arcanas, though the art varies widely. Decks with different suits and such are usually sold as Oracle decks or something of the sort, without the T-word attached.
My go-to deck for general inquiries is the
Victoria Regina by Sarah Ovenall and Georg Patterson, because it's very good at being blunt and telling me exactly what I need to hear. I'm looking for another, more gentle deck for different kinds of questions, and I'm thinking about going for a non-standard deck since I want it for non-standard purposes.
I love the idea of making one's own deck. As a witch, I love to personalize or make my tools whenever I can, because I think when you alter or make something you influence more than its physical nature. A deck that's made to answer your questions, if you make it well and willfully, will "try harder" or be more "powerful" than a store-bought deck, even if just because it means more to you.
edit: link added