Looking at this image, my first instinct is to say that most of these don't exist ... but after some serious thought, I have begun to believe otherwise. The first important part to this, I believe, is discussing the hypothetical validity of each of these transformations.
The 'human ape' versions of the Oozarus, I feel, cannot exist. I think you can only be in a saiyan form or an oozaru form. However, the Oozaru God, SSJ3 Oozaru, etc., do, in fact, seem possible to me. If we consider when Vegeta mentioned the SSJ 1000 years ago, there was an image of him in an SSJ Oozaru form. If saiyans can control their oozaru transformations like they can in 'saiyan' form these should be possible. Hypothetically speaking, though we have never seen SSJGSSJ2 or SSJGSSJ3 one could still utilize their power.
If the SSJ tier can have a Stage 2/Stage 3/Full-Power extensions, I would assume SSJ2 and SSJ3 tiers would as well. A Kaioken 30X, clearly possible, but not seen. Anything beyond a Super Kaioken would kill the host, so I don't know about anything like that.
Now, looking at the LSSJ section, I have never been able to understand if LSSJ is linearly the next form of SSJ Stage 3 or if it is another 'branch in the whole tree', as seen in the image. If it were in another section of the 'tree', then the LSSJ2 and LSSJ3 would make sense.
I'm not sure what Mystic 2 and Mystic 3 could be because I was always under the impression that the Mystic transformation was a power-up to the saiyan's base form, not a Mystic SSJ, so to speak.
SSJ4 Control, SSJ5 Control, SSJ6 Control, SSJ4 Stage 2, SSJ5 Stage 2 all can't be confirmed, in my opinion, because we don't know enough about the saiyan lineage in that 'branch of the tree' since this is not an extension of the SSJ tier. Considering Akira Toriyama said that if a SSJ5 were to exist it would be full of darkness and that Vegeta and Bulma teased the idea of a SSJ5 in GT, I think we could call that a potentiality.
On to the directional arrows: If we take out the section with 'human apes', that leaves us with three 'branches' above the SSJ section. I think that the arrows should only reside within the Oozaru 'branch', Oozaru God 'branch', and SSJG 'branch'. I believe each 'arrow leaves' of these should be linear and can't extend to other 'branches'. I think the False SSJ, SSJ, and Kaioken 'branches' are fine (except for the erroneous red arrow after SSJ3, which is a mistake by the author). My only one change would be that there is a yellow arrow going from SSJ to LSSJ.
The LSSJ, Mystic, and SSJ4 branches seem alright if we have arrows from SSJ4 to SSJ5, and the LSSJ tier. My questions and reservations lie in whether a hypothetical Oozaru SSJ could shift back into an SSJ by going 'across the tree' or 'back down and over'. Second, I'm also still not too sure if Mystic 2 and Mystic 3 are possible (although, off the record, I think they are kind of neat). Third, I don't know if there actually should be an arrow going from False SSJ to anywhere. Thank you all for taking the time to look at this, discuss my ideas, hopefully come to a consensus, and to finally organizing the saiyan transformations visually. Lastly, thanks especially to deviantart.com's Naruttebayo67 for creating this beautiful image.
Though it seems, some people are making an effort to correct that, it's still pretty bad in terms of reliability.
I still don't doubt the validity of my point, however, haha. There's nothing to prove against it.
Oozaru 
