This will be short and sweet. You've got plenty of different places to find a more thorough treatment. I'll link here for the description of what the rankings mean.
1. Javier Baez – 70 (9.5F)
Baez is the clear top prospect according to every other scouting service. The comps are starting to get a little out of hand, with some people putting a "Miguel Cabrera" label on him. Sure, that's a nice ceiling, but the floor is still awfully low. He's talented enough to make the majors right now, but until he learns how to take a walk, I'm not going to be convinced he's a world-class player. That being said, the future is extremely bright, and I wouldn't bet against him.
2. Kris Bryant – 65 (8.5E)
Bryant is maybe a surer bet to stick around in the majors, but he doesn't have the insane high-end that Baez might carry. Bryant can probably play 3B passably, but the imminent glut at the hot corner will push him into RF where his glove and arm will play up. Bryant can be an asset in the field at right, and his bat is good for 30 bombs a game. He'll probably lead the league in strikeouts at some point in his career, but the contact (when he makes it) is extremely loud. People make the Ryan Braun comparison but that's lazy – Bryant is a better athlete with worse plate discipline. If he puts it together, though, they could have the same career arc.
3. Jorge Soler – 60 (8E)
Soler didn't have the year everyone was hoping. He was injured for most of the season, and he was just working off rust in the AFL. There are reports that the Cubs told him to be careful; in any case, he looked tentative out there by all accounts. I'm relatively unmoved by the poor season – Soler still profiles to be a weapon with the bat in either corner, with enough plate discipline to allow that bat to play anywhere in a lineup from 1-5. He might have the best chance of any of the non-Vogelbach prospects to have a .400 OBP, which is impressive. A strong 2014 will make everyone forget last season (in which he still had a 128 wRC+).
4. Dan Vogelbach – 60 (8E)
This ranking system doesn't really care about positional scarcity or anything like that. Instead, it measures each player with respect to their position. In that light, Vogelbach is as fearsome as any prospect the Cubs might have. It's rare that a player has the combination of plate discipline and bat speed that Vogelbach has, but he truly could hit .300/.400/.550 in the majors someday. I couldn't care less where his glove is, if that's the case. He might be a career DH, but I'm not yet convinced he can't field 1B to a level that allows him to stick there. He's probably 2 years away from breaking into the bigs, and we'll have a better idea of what Rizzo is at that point. I wouldn't count out Flowbro3 as the option in Chicago in 2016, though. Even in a "down" year, Vogelbach still crushed to the tune of .284/.375/.449, with 73 walks to 89 strikeouts. I'll be anxious to see if the HR return to 2012 levels.
5. Arismendy Alcantara – 60 (6.5B)
This is perhaps conservative for his ceiling and aggressive for his floor, but I don't think Arismendy really needs anymore seasoning. He's improved at every single level he's been at, adding some plate discipline to his swiss-army skillset in 2013. If he can walk around 8% of the time (11% last year), his speed on the basepaths make Alcantara a prototypical leadoff man, someone capable of stealing 30 bags and taking the extra base behind what should be a dynamic lineup in the future. This FO likes getting prospects a full year at AAA, and that might keep Alcantara down longer than he should be; he'll wait at a minimum until Super Two status is avoided. It wouldn't shock me if he came up in a month, though, and shunted Barney to the bench where he likely belongs. It also wouldn't surprise me if he played a lot of CF in spring training and AAA, ESPECIALLY if they keep him there all year.
6. Albert Almora – 55 (7D)
If Almora can be an average fielding centerfielder, he's maybe a 60. I just don't see it. There were no encouraging reports on Almora's ability to stick in center aside from prenatural instinct a la Johnny Damon; he's just not fast enough. If that's the case, he's a good fielding corner with a good center's bat. That's a nice piece, but not a great one. Almora's game is high-contact as well; he doesn't have power yet, though it should develop as he does. I'll admit I'm lower on Almora than I have any right to be, and he'll make me look foolish in short order, presumably. I just don't like hearing continued reports that he's a 4/5 speed that is supposed to get faster as he gets bigger.
7. Mike Olt – 55 (7D)
I'm not sure I understand the bad rap that Olt's had all year. Sure, his 2013 was a hellacious year and one that people would very much like to forget. My question to those people would be: what if Olt was instead just injured all year with a broken leg or something? Would he have went from "best 3B prospect in baseball" to "4th best 3B prospect in Cubs system"? Likely not. It's not inconceivable that this was all a hiccup from some bad eyes that everyone has said has cleared up. It's also not inconceivable that many of his struggles were hit-luck; last season he had a 13.1% walk rate and a 28% K rate, which are basically in-line with his career averages. The only real difference were BABIP (in the .250s) and HR (half of previous years). He's not any different physically, so I'm not afraid to say I'm very optimistic that he takes 3B and never lets go of it. That being said, the words on Olt were harsh from BP, from the setup to the swing to the inability to get around on major velo. Call me a dreamer, but I think Olt will be just fine.
8. Pierce Johnson – 55 (7D)
I think there's a sentiment among many Cubs fan to overvalue our sparse pitching prospects just because it doesn't look right to have 7 position players before you find your first pitching prospect. Pierce Johnson and C.J. Edwards are beneficiaries of this my mind; both have some really nice upside, but neither is the caliber prospect of an Almora or Soler. Johnson has a fastball that touches 95 at the best days, working in the low 90s, and a good curveball that might be great when he hits the majors. He's got a frame that can pitch 200 innings, but he doesn't have a 3rd pitch that plays yet. He needs to refine the changeup, and he'll have all year to work on it (and his spotty command) in Tennessee. If he can make that an average offering, Johnson will have a great chance to stick on the major league staff in 2015.
9. C.J. Edwards – 50 (7E)
Edwards has nearly everything that you'd want in a pitching prospect; a clean delivery with no wasted motion, a dynamite fastball that sits 93 and goes higher, late, hard movement, and an off-speed that misses bats. He's got 3 pitches that play at the major league level or close to it right now, and all signs point to a high-character guy. Why isn't he a better prospect? Well, he's 6'2" and weighs maybe 160 pounds. He's desperately tried to add weight, any weight, to put up the with the rigors of throwing 200 innings in a season. Throwing a baseball harder than any man has a right to is a very violent thing, and injuries are the provenance of most careers, but it seems more inevitable than usual that Edwards will combust on the mound, probably violently, and probably soon. The safe bet is to move him to the bullpen before that happens, where you don't have to worry so much about taxing his already slender body. For me, though, you give a guy with perfect mechanics a chance to start, give him as much rest as you can (I'd always skip him in the rotation if I had a chance), and you roll the dice on a guy who has No. 2-3 talent.
10. Paul Blackburn – 50 (7E)
Blackburn is absolutely a name to watch for next year. BP had him as No.1 on their "prospect on the rise," based on the potential of a plus-plus fastball. I've heard that the fastball (really a sinker) has really late movement and could be a 7 or even an 8 in the future. If that's the case, Blackburn's wipeout curve could be a devastating weapon. Blackburn probably needs another pitch to really be successful in the majors, but he's got probably 2 years to find one.
Just missing were Christian Villanueva (6C), Gioskar Amaya (7E), Jeimer Candelario (6D), Arodys Vizcaino (6D), and a bunch of other types like Hendricks/Szczur/Ramirez.