Just don't make the same mistake of stupid people: Shipping her with Poison Ivy.
If someone dislikes her relationship with the Joker is really hypocrite to ship her with Ivy, Ivy is other one who abused her. In a different way but she did it.
Speaking about Batman....:
An universe where she is the new "Robin" and is Batman's girlfriend. Ayyy.
I ship Harley Quinn with nooo one. But...is it wrong of me to want her to have the Joker's baby so he can grow up and be a hero and fight alongside Batman...?