We do not provide FASTA files annotated for 1000 Genomes variants. You can create such a file with a VCFtools Perl script called vcf-consensus.
An example set of command lines would be:
#Extract the region and individual of interest from the VCF file you want to produce the consensus from
tabix -h ftp://ftp.1000genomes.ebi.ac.uk/vol1/ftp/release/20110521/ALL.chr17.phase1_release_v3.20101123.snps_indels_svs.genotypes.vcf.gz 17:1471000-1472000 | perl vcf-subset -c HG00098 | bgzip -c > HG00098.vcf.gz
#Index the new VCF file so it can be used by vcf-consensus
tabix -p vcf HG00098.vcf.gz
#Run vcf-consensus
cat ref.fa | vcf-consensus HG00098.vcf.gz > HG00098.fa
You can get more support for VCFtools on their help mailing list.