Here you go,
Web site on Study in Japan;Information for those who wish to study in Japan or are now studying in Japanese universities, graduate schools, special training colleges.
The info is pretty accurate since the site was made by the organization which handles my language school too (Plus I know the people who make it kinda personally). Some of the info might be old but the info is accurate since there is not much change every year in the requirement part and the dates. Though the info in the site is might not be detailed enough and you'll need to search it on your own.
On the side note, there is a few universities that accept students without Japanese Skills (since the class is in English) and EJU but you need to be here in Japan for the interview etc. As for example (one of my classmates already passed the entrance exam "only interview and its in English" to enter the uni), Waseda University. But the problem is the courses that they have for this kind of entrance sucks. Political subject thinggy I think.
And, might I ask why are you avoiding EJU? (Just took my EJU last Sunday, It ain't that scary). Plus since you said you don't mind spending 1 year for the language, I recommend you to come here to study Japanese and for a bonus, the teacher will help you out from exams to university(they'll train you on the interview etc). And they are really dedicated and detailed about it, its kindda scary, Since such teacher doesnt exist when I was at my home country.
Even if you sucks at Japanese, Math and Science in EJU, there still a chance for you to enter university(National) <cheap> if you're not picky about the location. eg University in
Hokkaido or Akita as for example. Since they don't really put emphasis on your current level, just your dedication or willingness or preservation or whatever to improve yourself in the future <they'll check it when you go to the interview> that's what my teacher said. Since she said it in Japanese I can't really translate it totally into English. Or easier to enter Private University <expensive as hell, for me>. And a lot as far as I know, the private university doesn't put emphasis on EJU mostly their own entrance exam. which happens to be mostly on Japanese and Interview.
Well I could go on forever on this topic. If you have more question feel free to ask. I might lose my interest in this thread if there's no more reply after a few days if so feel free to PM me. Oh, English ability is needed to enter <national> university over here. TOEFL, If you can get high marks in it, it's a plus. And a lot of students over here lost a lot of choices because their English isn't good enough.