So there's a couple topics that talk about Engines, those sometimes will talk about card draw for the factions.
Still, it might be useful in the future to catalog the current draw engines that Criminals use...
Earthrise Hotel: Good, especially synergizes with Career Fair. Limited use.
Drug Dealer: Passable, usually have to have a plan for 0 money. Most often seen with Underworld Contacts or other drip econ (Daily Casts).
Sports Hopper: Technically exists, but usually only Geist treats it as a real card draw option.
Mr. Li: Relatively poor, but it does get you through your deck faster than click-to-draw. (I personally believe there could exist a Professor-like list in Criminal where you have a bunch of singletons that Li helps you to find whichever you happen to need... But I've been unable to realize it as of yet. Consistency is very important for tuned Netrunner decks.)
Blockade Runner: This one exists. I believe it's poor, but others speak highly of it. I have not personally used it, but its benefits are its cost to install being very low. The downside is that it doesn't actually get you any more cards than just clicking to draw, so it ends up being comparable to Mr. Li.
John Masanori: Good, with potential downside. John's very good at synergizing with runs, which Criminals (currently) are set to use the most, and get the most value out of. Just watch out for the tag.
Those are pretty much the only options. Diesel, Quality Time, and Patron are technically there, too, but those cost influence and don't really count as 'Criminal' options for Card Draw.