Hi,
the 1000 genomes project was integrated in Ensembl, which gives you various informations about human genes, among others. To navigate to the different informations, use the menu bar at the left, once you are on the site of a certain gene (e.g. BRCA2)
You can now access all SNPs, which were found in the 1000 genome project, by looking at the so called "Variant table", which also gives you the respective frequency. You can see what nucleotide variations there are for different genomic positions, including non-coding sequences.
Another way would be the using the dbSNP, also founded on the 1000 genomes project.
From ensembl you can than download the sequence of a certain transcript and than compare the sequence with the SNP tables. Since, as far as I know, SNPs often occure in groups, its difficult to define, which sequence you want to download for a single SNP. Maybe there is a way to download the sequence of a gene with specific allels, which I'm not aware of.
Data slicer may be one option (as there are bound to be others).
BioMart from GRCh37 Ensembl site is also recommended by 1000 genomes project.