Inkscape (free) vector graphics editor imports .EPS directly, asks a couple questions which I answer with default, and saves directly to SVG as well as other formats.
The program runs on Windows, Mac and Linux and continues to improve in performance and features.
Update (per request)
Using File, Open, as well as locating a file via Windows file manager, right clicking and selecting Open With (Inkscape) I was able to open five or six .EPS files from random locations on my system.
The image below is the dialog box presented after selecting the file.
Some of the .EPS files I have were created using a bitmap to vector conversion program. I can allow for suspect circumstances with 3rd party processes, but one would expect such programs to follow conventions regarding exporting graphics.
As shown below, the imported file behaves as a vector file, allowing one to select elements of the image as desired.
In order to eliminate the possibility that the tested EPS files were of my creation, some of the images I tested originated from folder structures that indicate they were bundled with other software. I found one that I recognize to be from a local web developer. She would likely have used Adobe Illustrator to create or convert the document to EPS, based on the information I have attached to that folder.
I believe that my answer is correct from the experiences I've listed. If my answer was voted down because your configuration failed to import/open, it does not mean my answer is incorrect and deserves a down vote.