The best replacement for dataset is datareader.

The best alternatives to dataset are rated as following:
★★★★★  datareader
★★★★  datatable
★★★★  data set
★★★  entity data model
★★  dataview
★★  recordset
★★  database
★  entity framework
★  datareader performance
★  linq
★  dataadapter
★  sqldatareader
★  zvol
★  datatable vb.net
★  linq to sql
★  entity data model c#
  table matlab
  typed dataset
  untyped dataset
  feature class
  entity
  dto
  orm
  datareader net
  reader
  collection
  sequential file datastage
  collections
  datatable asp net
  datasource
  arraylist

Your alternative for dataset is not listed? Suggest!
Speaking about dataset, one probably shouldn't forget about datatable.

Other search terms related to dataset and their ratings are:
★★★★★ datatable
★★★★ stored procedure in c#
★★★ dataadapter
★★★ multiple tables vb.net
★★★ linq
★★ linq c#
★★ foreach in c#
★★ crystal report in c#
★★ datareader
★★ crystal report
★★ using dataadapter
★★ crystal report in vb.net
★ updating database
★ gridview in c#
★ datagrid
★ reporting services
gridview
datagridview
crystal reports
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Google Trends

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dataset
datareader
datatable