I don't really have FAVORITE favorites, but I guess I just picked names/people that came to me-
Loli: Hikari Yagami (Digimon - from the first season/movies when she's a little kid!), or hmm Rima Mashiro from Shugo Chara! I guess
Badass: well that's vague umm.. I think that Talho Yuuki from Eureka 7 is pretty badass
Yandere: I don't really watch animes with yandere characters, but I guess Kaede Fuyou (Shuffle!).
Tsundere: On the other hand I watch a lot of animes with Tsundere characters... Taiga Aisaka (Toradora), Kagami Hiiragi (Lucky Star), Rei Hino (Sailor Moon), Misaki Ayuzawa (Kaichou wa Maid-Sama), Zakuro (Otome Youkai Zakuro), Minko Tsurugi (Hanasaku Iroha) okay I'll stop but I could keep going, haha.
All time favorite animes:
Bishoujo Senshi Sailor Moon
Eureka Seven
Lucky Star
Highly suggest:
Mahou Shoujo Madoka Magica
AnoHana
Chihayafuru
Sword Art Online
Ao No Exorcist
Currently watching:
Kakumeiki Valvrave (second season airing now)
Nagi No Askukara
Magi