Tenchi talk, some spoliers for those who have not seen them all.
Well, personally I'm going to go ahead and say that I've always rooted for Ryoko.
In Tenchi Muyo O.V.A. I think that we can see that Tenchi and Ryoko are obviously closer. It's all in the details ladies and gentlemen. True Tenchi sometimes acts like he does not know what to do when Ryoko comes on so strong, but when compared with how he is with Ayeka, you can see that he is mostly respectful and caring of her as a friend. With Ryoko its like he does not know how to properly handle his emotions. Another story element that goes along way towards putting them together is the fact that Ryoko watched Tenchi grow up, she was there every step of the way and fell in love with him along the way. To her Tenchi is not a prize or some symbol of proper royal procedure, or even an interesting science experiment (even though I do love Little Washu) No, to Ryoko Tenchi is someone whom she loves as a person and who she is willing to die for at a moments notice. Plus if you read the "No need for Tenchi" manga series, which continues from the end of the O.V.A. You see many instances where Tenchi goes all out to save Ryoko, defying all that is possible to do so, and the same is true of Ryoko.
In The Tenchi Universe series they stretch it out a bit more but you can still see the bonds that are there. Look at the dimensional jumping episodes. In every instance it is Ryoko and Tenchi that are connected. Even in Ayeka's fantasy world Tenchi goes to Ryoko and is with her instead of being married to Ayeka. And in Ryoko's world, after Washu tells them that they have to want to come home Ryoko sacrifices the fantasy world she had because she loves Tenchi enough to want to be with him in the real world, where both of them want it. And I think you can tell at the end of that episode that Tenchi does feel for Ryoko. Also add to that the ending episodes. Ryoko does go all out just to get Tenchi where he needs to go to save Ayeka her rival. She knew that Tenchi had to save her and could not live with himself if he did not try, so she put her self on the line to help him do that. And at the end of the series Tenchi refused Ayeka and when Ryoko returned it was obvious that the feelings they had for each other were there.
In Tenchi Tokyo... Ok.. I hate Tenchi Tokyo. They neutered everyone in that show. No one had the power that they were supposed to. On top of that they changed the dynamic of the group. Before Tenchi cared for each and everyone of those girls and thought of them as family. But in Tokyo he tried everything he could to get away from them, get rid of them, and all out ignore them. That's just not Tenchi. So Personally I wash my hands of that series, I just don't know what the creators were thinking.
I also agree that the movies all show a firm connection between Tenchi and Ryoko, as stated earlier Ryoko was the one person that Tenchi kept remembering through the haze in Tenchi Muyo forever.
So there's my peace on that. I've heard tell that the next Tenchi series to come out will finally end it all and Tenchi will choose one. My money is definitely on Ryoko.
Now onto another matter. In Tenchi GXP, who the heck are the other people that are popping up at the Misaki house in that? It seems like there are a lot of new periphery characters in it. what I'm wondering is.. is there a series other than the O.V.A., Universe, or Tokyo? One that has not come out over here but has been aired in Japan but for some reason is going to come out over here after GXP? If anyone can give me the heads up on that I'd appreciate it. Oh, and I just have to say that Tenchi GXP is hilarious and is a wonderful series that uses the Tenchi world with out directly pulling on the main characters. a wonderful series, I can't wait to see the final episodes that will be coming to DVD after X-mas.