The English suffix-graphy means either "writing" or a "field of study", and is an anglicization of the French -graphie inherited from the Latin -graphia, which is a transliterated direct borrowing from Greek.
Etymology
The English suffix is derived from Greekγραφία, the -ία abstract of the verb γράφειν "to write", via Latingraphia. It often functions literally as a reference to writing (e.g. calligraphy,cartography,biography). However, it also has evolved to denote a field of study, particularly studies that involve some degree of collecting, cataloging and/or surveying (e.g. geography,demography,oceanography).
Of special note, -ography and -igraphy are not formal suffixes bearing separate connotations. The -o- (the thematic vowel) and -i- are distinct Greek suffixes.
The ultimate origin of γράφειν (aorist γράψαι; Doric also γρόφω) "incise, write" (compare γλύφειν "carve", whence glyph) is from a PIE root*gerbh-, cognate to OEceorfan "incise, cut", MHGkerben and OCSžrěbii "lot" (originally probably a stick with carved markings). It has many derivations within Greek, such as γραφή "incision, inscription", adjective γραφικός (graphic), γράμματα "letters" (grammar), γράφημα (grapheme), γραμμός "the act of writing", γραφεύς (γροφεύς) and γραπτήρ "scribe".
List of -graphies
Some non-study -graphies are the following:
Autobiography, the biography of a person written by that person
Bibliography, a list of writings used or considered by an author in preparing a particular work