You can make a really nice member directory from your exported Members Data, but it requires quite a few steps. Mostly because(If you've worked with that CSV or spreadsheet data you know that) the member profile avatars are not provided in the member export. So you must get these by building a scraper with a tool like import.io.
The Short Version
The first steps are similar to those when making a member map, as shown in my previous Member Map Making tips. Export your member data and pull it into Google Spreadsheets. Then run scraper to get profile photos. Add them to the sheet in a new column, Apply a cards layout from Awesome Table to the sheet along with some custom CSS. Then you embed it whereever you like. Filters are customizable too.
Member directories can come in many shapes and sizes. You or I can make this anyway you like. Is something like this of any interest to you guys? If so, I could either offer it as a service or explain the long version.