I've poked around a bit looking for a solution. I'm using Office 2010.
When I copy/paste a single record from Access to Notepad, it works fine. When I copy/paste several records, Windows seems to add extra quotes around just some of the records and makes some of the double quotes turn into double-double quotes ""!""
Another problem I had was when exporting a table to plain text, even though the field is set to Memo, I was experiencing field truncating to 255 characters.
The quote issue seems to happen with Excel as well - this is not a solution, so no need to click: http://www.excelforum.com/excel-general/650997-remove-double-quote-marks-when-pasting-into-notepad.html