Berserk,Shamo,Wolf Guy,KissxSis,Nagasarete Airantou,REAL,Holy Land,Suicide Island,EDEN,Akira,Another,Kyou,Koi Wo Hajimemasu,
Boku wa Tomodachi ga Sukunai,Homunculus,Higurashi No Naku series
Mine would have to be Death Note. I own all 12 volumes and 2 extra booklets. 1 which explains all the characters and the other explains the death note and all the rules.
Well, I guess I "fav" all the mangas I read because I'm really choosy and have to do some research and read the summary of the manga first before I decide to continue reading it. But to name a few, Majin Tantei Nougami Neuro, Katekyo Hitman Reborn, Tsukihime, Ao No Exorcist, the To Aru series and pretty much most of Type-Moon's works (most of which came from their original VNs) are on my top list.
Most of them are from the topics that please me the most. My sincerest apologies if we do not share the same tastes or if you find the complete album. But if you have any requests, write to me. I may find something.