We had requirement for showing Views on Opportunity based on stages, e.g, Opportunity in Qualify stage view should only show Opportunities under Qualify stage. For this we implemented in following manner:

Go to Default public view of Opportunity under Settings->Customizations->Entity->Opportunity->Views:

Click Save as fill in the name as below:

Screen will appear as below:

Click on Edit Filter Criteria and select related entity Process Stage, select criteria as in below screenshot:

Click ok, Save and publish this opportunity, Go to Sales->Opportunity, View will display opportunity only under Qualify stage now:

Hope it helps!