Oh, if you're doing a cross-era Sith thing, hating each other's ways is pretty much guaranteed. Krayt's far from the most disliked here!
Naga Sadow was, according to Freedon Nadd, against the coming of the tradition of individual Sith Lords like Exar Kun at all. And in turn, Nadd declared Exar Kun a heretic and Ulic and the Krath the true heirs to the Sith. Bane hated Kaan and Kaan feared Bane. Sadow and Kressh hated each other. And so on.
Here's one group:
Marka Ragnos, Sadow, Vitiate, Darth Ruin, Darth Krayt, Ajunta Pall, Karness Muur, Belia Darzu, Ludo Kressh, and Kaan.
They all worked in kingdoms, empires, or with groups of Sith.
And of those, some (Vitiate, Ruin, Krayt, Ragnos, Darzu), enjoyed supremacy for pretty much their entire careers and might not be ok with serving under others, while other (Pall, Muur, Kressh, Kaan, Sadow) worked with other sith as at least near-equals with councils or such.
Here's another:
Darth Sidious, Darth Bane, Exar Kun, Darth Caedus, Darth Maul, Darth Tyrannus, Freedon Nadd, Darth Revan, Darth Andeddu.
They all worked individually, in a pairing, or similar. Some in Rule of Two or close enough to it, others just because they weren't willing to share with anyone (Nadd, Andeddu).
So whether we're talking my list or your list... it's a lot more chaotic than that and hard to say who'd come out on top.
If anyone has questions to why I can answer. However if you ask me it seems sort of self explanatory .
All your Jedi picks are self-explanatory.
As for the Sith, there are four names I'd question. Maul, Tyrannus, Andeddu, and Ludo Kressh.
The first two simply because they were Sith Apprentices rather than Masters. Especially Maul. It seems to me like there are stronger choices.
As for Andeddu, he has great knowledge of eternal life and was considered strong in his time, but he's not even as strong as Wyyrlok, let alone Krayt or the other masters of respective eras, and he hid from his rivals in the end. Plus you've already got Muur doing the immortal thing.
Finally, Kressh... well, he's actually pretty strong, but still, he was only second best in his era and you've already got the stronger Sadow. I think he's kinda redundant.