Lazuli (ラズリーちゃん, Razurī-chan) is a hamster who appears in Hamtaro: Ham Ham Games and most Japanese episodes after Episode 193: "I’m Parting, Clubhouse!". She is the possible love interest of Snoozer.
Lazuli and her sister Lapis are owned by Maggie O'Hara. They live in Jewelry House and work in a magical candy world called Sweet Paradise, which the Ham-Hams visit frequently in later episodes. When she first meets the Ham-Hams she is excited to have new friends, unlike Lapis who doesn't think they need any friends as long as they have each other. She and Lapis play with The Ham-Hams at the Clubhouse or Sweet Paradise.
Lazuli is very childish. She doesn't care about danger, for the most part. She goes through very risky and dangerous situations for the sake of fun. When she is inevitably rescued she, instead of thanking her saviors and apologizing, tends to go on about how much she enjoyed it. She is very oblivious to the harsher aspects of life and is quite unempathetic at times, which is mostly what gets her in trouble, much to Lapis' annoyance. She always has Lapis watching over her due to this.
Out of the two, Lazuli is the one wielding magic. She is often seen mixing ingredients at her magic cauldron, in Sweet Paradise. The cauldron is mostly used to transport the Ham-Hams to far-away and unique places or dimensions. According to Lazuli, she somehow finds these places herself. She also has magical seeds introduced in A Mysterious Seed Experiment! that can do pretty much anything. Originally they just created clouds for the Ham-Hams to stand on. In later episodes they create all sorts of other strange things. She also carries her magic pouch strapped round her at all times. It is magical in the sense that it seems to fit an infinite number of things inside it, no matter how big they are or what shape they are.
Past Theory Edit
Lapis and Lazuli were discovered by Maki's grandpa in a far-away desert while he was on an around-the-world trip. They were suffering alone out there and would not have survived if it weren't for him rescuing them. There are very few other notes on Lapis and Lazuli's past. In The Sweet Paradise, Lapis tells the story of how they came from a kingdom in a far-away desert. In The Sweet Paradise Disappears, Omar begins to tell Lapis, Hamtaro and Oxnard a tale he had heard about a kingdom in a far-away desert. He adds new information by saying that the kingdom held a mysterious jewel and twin princesses. The mysterious jewel is obviously referring to the blue and yellow striped jewel that powers Sweet Paradise, and is also the jewel that they are trying to find during that episode and that Omar returns to them. The really interesting part is the twin princesses he mentions. There isn't much point in coming up with excuses as to why he might be incorrect, as Lapis basically confirms it by quickly changing the subject after he says this. Other than what I have said, there is no information on the subject. However, since Maki's grandpa found them in the desert with all of their equipment on (i.e Lapis' hood, Lazuli's magic pouch), it is safe to assume that the kingdom they came from is a very special and magical place. It must also be noted that either the mysterious jewel was stored in Lazuli's magic pouch at the time, or it somehow followed them to power Sweet Paradise, as it was not seen with them during the clip in the desert; this gives more evidence.
TL;DR: Lapis and Lazuli came from a far-away kingdom in a far-away desert. The kingdom is presumably very magical as Lapis and Lazuli already had their magical equipment when they were found by Maki's grandpa. They are also pretty much confirmed to have been the princesses of that kingdom. That is unfortunately all the information portrayed throughout the series.
As weird as it sounds, it is rumored that Lazuli has a crush on Snoozer. She is always snuggling up to him to sleep, and is always the most concerned when he is in trouble or missing. It may just be a strong friendship, though. Lazuli throughout the series never shows much sign of understanding the prospect of love. Snoozer doesn't tend to return any feelings.