Gakuen Alice, Dengeki Daisy Recommendations
Both manga have underlying storylines where multiple people close to the main heroine protect her by keeping secrets from her. The female protagonists (Mikan in GA and Teru in DD) are both very thoughtful, intelligent, and often do things that are unexpected in shoujo manga. Both titles use the tragedy tags quite well, though there is considerably more in GA, mixed in with fantasy and magic.
Ultimately, they're both really great shoujo manga, sometimes having the same feeling of dread or mystery, and definitely psychological aspects that make you want to burst out in tears. GA is 180 chapters while DD is 75 :)