No. They are never shown as having a romantic or sexual relationship at any point during the anime or manga series, although Yugi does have a crush on Anzu. She is shown to have a crush on Dark Yugi (Yami Yugi), but never acts on her crush.
she likes yugi
No.
Yuugi and Anzu never get together in canon. You can read the 'Ship Manifesto essay included in the Related Links of this answer to see why some fans think there is nothing that is really stopping them from entering into a relationship after the events depicted in canon.
Yes he does, so does she. It's more obvious in the original Japanese version and manga though. Ps. Tea's real name is Anzu and Yugi is spelled Yuugi.
No, Yugi is not in love with Joey and vice-versa.
Yugi Muto (pronounced Moto) is the main character of the Yu-gi-oh! Original Series. There is a controversy as to whether Yugi likes the only female friend of his that has always been with him from the beginning, Tea, (who is referred to as Anzu in the Japanese version of the show,) or the spirit that posesses the Millennium Puzzle, known as Yami, Yami Yugi, Pharaoh, and Atem. Read the manga to find out the truth on the matter.
Atem hasn't shown any love for Anzu in the series, but, I did find a picture of their forever love. I'm a girl who is Atem crazy and I was jealous after I saw it. There's a link below of the picture.
I'd say yes because in a movie, this Chinese girl likes Yugi and says something I couldn't understand because it was Japanese, but I was sure of that it had something to do with a relationship. But Anzu said something that sounds like she has used the words "Rebecca", "Already" and "Yugi". Which means to me that the sentence was: "No, you can't be his girlfriend because Rebecca is already Yugi's girlfriend!". If it was that, they are boyfriend and girlfriend. Another thing I know is that when Yugi came to watch and cheer Rebecca in a duel, the first thing Rebecca said was "Darling!" to Yugi. And Rebecca loosed so after that, Yugi and Rebecca hugged! And Yugi commented very good things about her. So, in that case, THEY ARE BOYFRIEND AND GIRLFRIEND!
No way! Yugi just needed Anzu to help Atem figure out his past because remember, he forgot everything! Don't believe me? Watch this video about it in English! Check the link. Click on the Mirror (Videozer) link to watch it because that is the only link that works!
In the episode ''Steppin' Out.'' She danced against some punk who thought he was a better duelist than yugi. It's episode 50/51 (I don't remember clearly).
Anzu Mazaki was created in 1996.