"私は日本を旅行したい”

「私は日本を旅行したい」が正しいです。 度 and 旅 are same pronunciation of たび tabi. 旅 and 旅行 are same meaning. 度 means "occasion", and we usually use kana but kanji.

どうもありがとうございます I will use them from now on!

I thought it might be Jisho's fault ;) I love the site, but only when going from Japanese to English. When you are trying to find a Japanese equivalent for an English word, it is about the worst thing you can use. It has all these extremely rare and uncommon words and it does not distinguish them from common ones. Can I recommend http://www.alc.co.jp/ and http://tangorin.com/ ? The first is great for looking up phrases, slang terms, and idioms. It is actually not a dictionary, but a compilation of translations that you can search. The second is actually a good dictionary with lots of example sentences. Remember, whenever you are trying to look up an English word in Japanese, always double check Japanese to English to make sure the definitions match.

Thank you.