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As somebody said earlier, NJ is full of towns that might meet your criteria.
Just in Essex County, which is close to Newark Airport of course, there is Montclair, West Orange, Maplewood, Millburn, Essex Fells et al--all upper middlle class towns where a million dollar+ budget should be more than enough for a nice, large home in a town with good schools and at least some walkability. The biggest financial drawback, of course, is that property taxes in these towns are high. But at least, as opposed to other places, you get something for all that money.
Before I add more, something to consider is that you do not have to spend $1 million dollars to get a big homes further inland. With that said, some places to look into are places like Sewickley outside of Pittsburgh, the village of Williamsville(inc. surrounding areas just outside of the village in the town of Amherst) and parts of Eggertsville(a cdp also in the town of Amherst) outside of Buffalo; the 12 Corners area of Brighton outside of Rochester; the DeWittshire/Orvilton area of the town of DeWitt or the village of Liverpool(inc. surrounding parts of the town of Salina) outside of Syracuse; Old Niskayuna in the town of Niskayuna next to Schenectady and its Upper Union neighborhood and parts of the Central Dauphin SD outside of Harrisburg like Paxtang, Penbrook, Progress, etc. There are others that could work for you, but keep in mind that relatively high end suburbs in these areas would allow you not to go that high in terms of budget for a home.
Also, keep in mind that access to the main city would be much easier due to the lack of serious traffic. So, that is something else to consider with these areas further inland.
Should have added, but if you don't mind a small city that still has good schools, cultural diversity, within your budget and walkability in the Interior Northeast; Ithaca NY would be a good choice. while it offers quite a bit for its size, it is still close enough to other/bigger cities for even more to do.
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