A few questions then. Whos playstyle is most similar to Ryu? And how do Mu and Lambda play? they seem to be exactly the same. I play street fighter mainly so any references to them would help me understand each characters play style a little bit more.
The characters I'm interested in are:
Ragna, Jin, Bang, Hakumen, Mu and Lambda,
You can't play any character as defensively as you can play Ryu.
Ragna: Offensive-oriented character with a great mid-range game and passable defenses due to a strong DP and a gimmick that allows him to restore small amounts of health through drive (read: big and slow) attacks. He has no projectiles and therefore has limited regulation at fullscreen. In this version of the game, he is brain dead easy to learn and play well, and he dominates much of the cast in non-pro play.
Jin: Jin has a lot of options and he is probably the most versatile character in the cast. He has several projectiles that allow him to zone at full screen, as well as above average pressure tools and one of the best air-to-air games. He also gets good corner carry from midscreen and his counter super forces characters to play differently against him in the corner when he has heat (meter). However, he doesn't get particularly good damage and his normals are somewhat lacking, making his offensive game not great. His learning curve is fairly middling.
Bang: Bang is an unusual character. He has amazing mobility and, far and away, the best jab in the entire game, which make him a strong offensive character. Moreover, he also has one of the game's best projectiles (D nails), one of the game's most diverse and dangerous supers (Daifunka), and the second best defensive stats, along with Hakumen. His damage isn't great, however, and his defensive options are relatively difficult to utilize. Bang is a somewhat difficult character to learn but the sheer power of his offence often does a good job of bullying people out of their quarters, so he can be fairly rewarding.
Hakumen: Hakumen is the most defence-oriented character in the game. He builds meter without doing anything, he has extremely strong normals with great reach, he can break projectiles, and he has an invincible counter that shuts down a significant percentage of offensive options that are otherwise guaranteed against other characters. Hakumen also forces a lot of characters to play against him differently in the corner, due in large part to the presence of the counter. His damage is also second to none. He has very weak mobility however, due to the lack of a real ground dash (he has a SF-style dash where he hops forward), and little ability to play offensively. Hakumen isn't a difficult character to learn but the execution requirements are somewhat high and you need to be competent at blocking.
Lambda: The OG zoner of BlazBlue. She has a lot of great projectiles and absolutely ridiculous backdashes, as well as some unique play concepts that make her extremely effective on the offence. She has about a billion anti-air options, as well as a "DP" that causes the opponent to move from side to side extremely slowly within an area (it's difficult to explain, but it's very useful). The tradeoff is extremely weak pressure, defenses, and corner game. Lambda requires a lot of patience but has a fairly low execution requirement.
Mu: Mu is difficult to explain. She is primarily driven by an unconventional projectile that can be charged, is interrupted on hit, and bounces around the screen on a fixed pattern determined by the steins (oblong diamonds) that you place on the screen. She also has a fairly good air game, one of the strongest and most useful overheads, a nice DP, and good damage. She is very diverse and, in that way, not at all like Lambda; she can accommodate most play styles effectively. Of the characters you've listed, she's probably the most complex to learn. However, I play her a bit myself and she's a ton of fun.
The true answer to the "who should I play" question is always Litchi, though. Litchi. Litchi Litchi Litchi Litchi Litchi.