For the Sentient Android/Robot Romance:
* Planetes: While not directly about romance, this show explores the lives and relationships of space debris collectors, including one who develops a bond with a sentient AI robot.
* Ergo Proxy: A darker, more complex story about a detective investigating a mysterious android, this show delves into the nature of consciousness and identity.
* Ghost in the Shell: Stand Alone Complex: A cyberpunk classic that tackles the philosophical and ethical implications of artificial intelligence and its impact on society.
* Serial Experiments Lain: A mind-bending and surreal anime that explores the relationship between technology, the internet, and reality, featuring a young girl who interacts with a sentient AI.
* Robotics;Notes: This anime follows a group of high school students who build giant robots and confront the dangers of advanced technology.
For the Slice-of-Life, Heartwarming Aspect:
* Azumanga Daioh: This hilarious and heartwarming show focuses on the everyday lives of a group of high school girls, offering a fun and relatable portrayal of youth.
* K-On!: This show follows a group of girls who form a light music club, showcasing their camaraderie and musical adventures.
* Nichijou: A wacky and comedic anime that follows the strange and hilarious adventures of a group of school friends.
* Toradora!: A coming-of-age romantic comedy that focuses on two high school students who develop a close relationship despite their initial dislike for each other.
For the Fantasy and Magic Elements:
* Tsubasa: Reservoir Chronicle: This fantasy adventure series features a group of characters who travel through different worlds in search of a magical artifact.
* Noir: A stylish anime about two female assassins who go on a dangerous mission to uncover a dark secret.
* xxxHOLiC: A supernatural anime about a young girl who helps people with their problems by using magic and her unique abilities.
These are just a few suggestions, and there are many other great anime shows that share similar themes and elements with Chobits. You can also explore other anime shows that focus on relationships between humans and AI, explore themes of loneliness and friendship, or feature relatable characters in heartwarming settings.