Isn't the main focus of Jiujitsu based on grappling? Or does it emphasize various other techniques as well? I'm not familiar with it. When I look at pictures, I always see the students wrestling & on the ground?
This isn't the simplest question to answer, because jujutsu/jiu-jitsu is not a single art, but rather a blanket term for a large family of (somewhat) related arts.
To begin with, you have a number of historical (koryu) Japanese arts. Some of these were supplemental battlefield arts for grappling in armor, others were intended for civilian use. In general the emphasis was on (standup) grappling, but strikes and weapons were sometimes included. The koryu arts have training methods and cultural trappings which are noticeably distinct from most modern systems. There are a fair number of these systems, but they aren't widely practiced compared to arts like Judo.
Next you have a smaller number of modern ("gendai") systems developed in Japan which are derived from these older arts. The most widely practiced is probably Judo, which was developed by Jigaro Kano based on his training in Tenjin Shin'yo-ryu and Kito Ryu. Kano changed the name of his art from jujutsu to judo. Ostensibly this was to emphasize the philosophical context of his art and the fact that it could represent a life path, but the name change could also be seen as an exercise in branding, since jujutsu and the other classical forms of bujutsu were not popular in a Japan which was striving to embrace modernity. Despite the name change, a number of prominent judoka taught the art under the "jujutsu" moniker for a while, especially overseas. Other successful modern forms developed in Japan are Aikido (derived from Daito-ryu Aikijutsu) and Wado-Ryu (although commonly thought of as a karate style these days, Wado-Ryu was created as a blend of karate and jujutsu - in fact the full name was originally Shinshu Wadoryu Karate-Jujutsu).
Finally you have a much larger number of jujutsu styles developed outside of Japan, generally derived from some combination of Judo, Aikido, some other jujutsu styles, karate, and/or assorted non-Japanese arts. In some cases the founders of these arts have changed the name or otherwise distinguished their systems from the Japanese source arts. In many other cases, they present their system as "Japanese Jujutsu", despite the facts that the exact lineage of their Japanese forebears is uncertain and the art has changed considerably from its ancestral form.
Here are some examples of notable non-Japanese members of the extended jujutsu family:
Brazilian Jiu-Jitsu: Originally an offshoot of Judo which specializes in ne-waza (ground grappling), BJJ has picked up concepts and techniques from other grappling arts such as catch wrestling and Sombo.
Sombo: A blend of Judo with various folk wrestling methods from the former Soviet Union.
Hapkido: A Korean derivation of Daito Ryu Aikijutsu. Some schools have added in kicking methods from Tae Kwon Do.
Danzan Ryu Jujutsu: Created by a Japanese expatriate living in Hawaii. Supposedly derived from Yoshin Ryu and other historical jujutsu systems, but historical verification is not available, so it may be just based on Judo and Aikido. Either way, the founder also mixed in elements of karate, boxing, escrima, kung fu, wrestling, and lua.
Small Circle Jujutsu: Derived from Danzan Ryu and Judo.
There are many, many more. Most have at least a heavy emphasis on grappling, but many include striking as well. Some include ground grappling, many only focus on standup methods. Many include live sparring as part of the training, others rely exclusively on compliant drills. It's hard to make any absolute statements which cover the entire family of arts.
