Not at all disparaging your love for your previous bird, who sounds just charming, or the care your family gave the bird, but a budgie just comes to life in a different way when they feel safe to explore outside the cage. For now mine are restricted to my bedroom, but I would love for them to one day feel comfortable a whole house or apartment. They have multiple play areas with different kinds of stimulation and they can choose what to do with their time (including flying in wild circles)-- sometimes they choose to play in the cage for 15-30 minutes before coming out for a bit, then going back in.
As a few other users have said, a big big flight cage for a pair or so of finches would be ideal, if you are set on caged birds. ALL parrot species thrive with out of cage time, and it would be such a delight for YOU and your family! Why pass on the opportunity to interact with a little companion who trusts and chooses to come to you? They are in some ways smarter than dogs and cats, too-- I know my boys learn somethings even quicker than our poodle-- and deserve the same freedom.
I don't want to suggest you didn't love your bird-- budgies have come to our current era after surviving ocean voyages, the smog of London, having cigars blown in their faces (Churchill was a budgie fan), circus training, climates and diets nothing like what their ancestors knew in Australia, and so many generations of people have loved them in their own way. I have talked to older folks who kept clipped or caged birds who still talked and sang their little hearts out and brought so much joy to their lives. But we can do more than have affection for animals-- if you ask a question HERE you are going to get the recommendation for the best captive care we are able and informed to give with the research and experience that is available right now.
So many budgies live a less than ideal life, many of them a truly awful life, and it does not sound like your old bird lived an awful life-- but when you ask on this forum people are going to answer in terms of the BEST life.