Lol Tanya that first hairstyle is very 1980's very few people have a jerry curl anymore.
Second one is up to date little girls wearing beads.
Right now the in thing for african american hair is a relaxer and style. But even then none of those styles show up in sims.
http://www.wilshirewigs.com/graphics/wigsjpegs/detail/beverlyjohnson/bj434.jpg
http://www.hairextensionspictures.com/wp-content/uploads/2009/01/african-american-hairstyles.jpg
Relaxer and then curls
http://woohair.com/large/Short_Hair_Magazine_42.jpg
Relaxed with a cut into a styled mohawk
http://dallaspenn.com/pics/albums/crapmusiclogos/0_fingerwaves.jpg
These are finger waves though i've seen them styled in 100 different ways.
http://diyushop.com/wp-content/uploads/2013/04/hairstyles-2013-black-chahairstyles.jpg
Believe it or not these are braids
http://3.bp.blogspot.com/_5-kp8k6saqM/TD-kwcqoJHI/AAAAAAAAACs/qukrKVuWHow/s1600/JoySmile+pic+99.jpg
Micro Braids, also come in a variety of styles. Tiny braids, some are not braided all the way down. Though they're cute if done wrong they can leave many women bald or with hair falling out.
http://1.bp.blogspot.com/-Z2Ec-7CtoJ4/TyVVE9MhS3I/AAAAAAAAAyU/J7nEQFNHrWs/s1600/african-american-Braid-Hairstyles-women-09.jpg
These are still popular a style that never dies out.
http://thirstyroots.com/wp-content/uploads/2011/03/flat-twist-bun-6.jpg
twists
http://thirstyroots.com/wp-content/uploads/2010/03/Flat-twist.jpg
silky locks
There are many more haircuts and styles used in modern days just there is so many i don't want to post them.