I guess it depends on research field and journal - in biology most journals require you to deposit your raw genomic reads to the Sequence Read Archive, this is still sometimes missed by editors and reviewers.

Random example for the requirement of data depositing from Journal of Plant Physiology: "If new sequence data are reported, insert the following: “Sequence data from this article have been deposited at XXX under accession number(s) YY000000.‘‘ http://cdn.elsevier.com/promis_misc/jpp_Instruction.pdf

Another random example from the Nature Group http://www.nature.com/authors/policies/availability.html

AFAIK only few funding bodies require the deposit of raw data...