Plenty of code line counting apps are available for vb6 (https://www.google.com/search?q=vb6+count+lines+of+code). I have used what is currently the first hit on that google search (http://www.freevbcode.com/ShowCode.asp?ID=1975) and it has done a credible job for our needs.
It outputs stats on a per module basis, this may be along the lines of what you're looking for? For instance:
Module Name: mymodule.bas
2,662 Total number of lines of code
2,619 Miscellaneous lines of code
21 Sub routine headings
7 Function routine headings
0 Property Let routine headings
0 Property Get routine headings
0 Property Set routine headings
0 API Declare statements
15 Constant variables
0 Type Structures
1 Auto generated lines (Not Included)
363 Blank lines (Not Included)
1,488 Comment lines (Not Included)
Source (vb6) in included with this app, so you could also enhance it for your own needs.