I think we really, really have to nominate Stephen Altschul for that list. He has co-authored one of the most influential (by citation) Bioinformatics tool, BLAST. In addition, he has popularized bioinformatics in general and through his work at NCBI helped to shape web-blast and make it the popular tool we have now. Indeed, the natural way in which we take blast and web-blast, and other applications and databases for granted justifies these honors. Certainly, the coupling of Genbank and other large databases with an efficient algorithm to search through them is what has made these tools so popular and indispensable for biological research. He, and of course the NCBI team, have thereby shaped the way we view web-applications in bioinformatics today and that long before any web 2.0,3,0,4.0 gimmicks. Simply, think about how much research this resource has enabled.
A lot of current achievements are actually team achievements, and this needs to certainly be pointed out in the context of this question. But there always have been some inspiring minds that are specifically influential.