I have a similar problem and the first time I read Lobarch's answer it made no sense to me because I am not experienced enough to comprehend all the various generalities he used. After I learned more and figured out an answer, his answer made a lot of sense. LOL.
My problem is I wanted to show 8 different progressive concrete pours in 3D and the civil engineer I am hiring wanted better virtualization for the future city plan reviewers and himself.
Step 1: Click "Manage" tab, click "Phases". "Phasing" (on stun?) window opens up and it has 3 tabs. The first tab (and the default open tab) is "Project Phases". There are some default phases already named and numbered. On the right side of the window is an "Insert" box. Using the "Before" and "After" tabs in the "Insert" box I added new phases named "Concrete pour 1" to "Concrete pour 8".
Step 2: Click on the "Phasing" window tab named "Phase Filters". On my version of REVIT there are ten different "Phase Filters". Number 5 is "Show Complete". Find your "Show Complete" and in both the "New" and "Existing" column boxes click on the boxes and a drop down appears with choices. Choose "Overridden" for both.
Step 3: Still in the "Phasing" window, click on the "Graphic Overrides" tab. This is where "Overridden" lives. Notice the "Phase Status" "Existing" has thin grey lines and the "Phase Status" "New" has thicker black lines. This is what we are talking about! For added effect, on the "Existing" row I added a check to "Halftone". Click the "OK" box to apply the changes and close the "Phasing" window.
Step 4: I went to the Project Browser, scrolled down to the "3D Views" and then duplicated and renamed views until I had views named "3D Concrete pour 1" to "3D Concrete pour 8"
Step 5: Starting with "3D Concrete pour 1" I opened it. In the properties section scroll to the bottom by clicking and pulling down the grey slide bar. The last property is "Phasing" with two parameters: "Phase Filter" and "Phase" In the drop down box of choices revealed when you click on the box I chose "Show New". In the "Phase" choice box I selected "Concrete pour 1". After clicking the "Apply" button on the same line as "Properties help" The view "3D Concrete pour 1" should look correct. (If it doesn't, see step 7)
Step 6: Do the same for each view in the series. Except after the first view, in subsequent views in the "Phase Filter" box select "Show Complete".
Step 7: Now each view should be just the way you want it. Except, of course it is not because all the previous work I did was not done with this end result in mind. The fix (which took hours) was to click on each element of the project. After it turned blue, that element's properties were in the Properties window. Scrolling to the bottom of the "Properties" window reveals the ubiquitous "Phasing" category. In the "Phase created" drop down choice list I picked the phase which matched the view name (I placed elements in "Concrete pour 6" created that I wanted to first see in view "3D Concrete pour 6"). Many...many wall and column elements spanned two, and occasionally three views. For some walls I was able to successfully use the "Modify|Walls" tool to split them and then change the "Phase created" property attribute. But for most elements this resulted in another fine mess so often it ended up being easier to delete the offending element and redraw the parts in each appropriate view with the correct phasing. Also I am doing a remodel job and I wanted some of existing walls to disappear to make it easier to see the new concrete and show the new concrete was using new footers. I found no ninja move to do this and ended up hiding them using the glasses icon on the bottom of the view tabs. Every time I reopen the project to print I have to use the glasses to rehide the existing walls I do not want to see. After highlighting in blue an element if you right click on a blank part of the view a menu appears which includes the choice "Hide in view". I am scared to use this because once an element disappears in a view using this I don't know how to make it reappear. LOL.