The helmet is called a "great helm" with no moveable visor. It is the transition from the old "Norman" style helmets which offered only a nasal bar to protect the nose, and the later "close" and pig-faced bascinet helmets with their liftable visors.
The homemade chainmail shirt, or hauberk, has an attached coif (although it is hidden by the helmet). Since this photo I have extended the sleeves down the forearm to just above the wrists (*see link below); I will eventually have them terminate in mittens in the late 12th/early 13th century style. The rings are stainless steel "butt rings" purchased from a fishing tackle supply company--not historically accurate but I couldn't see keeping mild steel rings oiled all the time to fend off rust! In case you're wondering, there's 30,000 rings (and counting) in the shirt and coif. I have also added a self-made shield to the entire outfit (*see link below).
The surcoat with red cross somewhat resembles the surcoat of a Knight Templar from that time period. Since this photo I have had the surcoat altered to bring the length up to just below the knee.
The sword and double-wrap belt were purchased from a museum replica catalog and cover my targeted time period fairly adequately.
Ignore the lack of leg armor for now (I'm just wearing knee-high moccasins in the photo). Eventually I would like to have chainmail leggings to complete the ensemble, but it could be a while before that happens.
Learn how to make your own chainmail armor
Learn how to make your own plate armor