I'm glad basketball is a limited contact sport because I'm not good at it and I'm brittle boned
DO you play basketball now?
Nah, I do brazillian jiu jitsu now, it's a full contact sport, my bones are much less brittle now
Oh yes, I would say Jiu Jitsu is much more contact then basketball. 
BJJ is a combat sport with high level problem solving and dire physical consequences
Is it similar to Karate or Tae Kwon Do?
It is more of a ground fighting sport, centered on take-downs and following the movement of your opponent. 
Is it like Mixed Martial Arts?
Mixed martial arts
Mixed Martial Arts (MMA) is a full-contact combat sport that allows striking and grappling, both standing and on the ground, using techniques from various combat sports and martial arts. The first documented use of the term "mixed martial arts" was in a review of UFC 1 by television critic Howard Rosenberg in 1993. The term gained popularity when newfullcontact.com, then one of the largest websites covering the sport, hosted and republished the article. The question of who actually coined the term is subject
. Some sport styles, such as sanda, taekwondo, tang soo do, Kyokushin kaikan, kūdō, karate, kendo, and mixed martial arts use full contact sparring, though some of them, such as taekwondo (WT) and kendo make use of full-body protective gear.
Brazilian Jiu Jitsu.
Brazilian Jiu Jitsu sparring is full contact and injuries are rare as it does not involve striking but rather forcing the opponent to submit using grappling techniques.
MMA.
There is a lot of controversy in