Nicer architecture: Only sometimes. Sometimes, old is just old and plain. Not to mention that things change over the years: I'm guessing by 'old house' you refer to something built pre-1940 and not the ranch style house built in the 60's: Those houses from the 60's are over 50 years old, though.
Better materials? I'm not convinced. Drafty doors and windows, little insulation, lead paint, outdated plumbing parts, and old wires are a few things that were used. Any serious look at windows used during building booms during the 50's dispels the materials, honestly - at least in the US.
More space? Again, only if you get the right house. Plenty of old houses are small. You also have a bit of survivor bias here: Old, large houses that were expensive were more likely to be maintained and preserved later. I'll also point out that a good deal of old houses are now apartments, and also point out that the space you get in an old house costs more to heat. On top of that, this was a space designed for a different time period. That means that space can be a much less efficient space than you get in a new house that is wired for modern times.
Maybe using more mature trees really isn't something we should be doing right now? At least some of those mature trees contributed to deforestation and it seems better to get trees not from old growth, but from new growth from a well-managed forest area, where swaths of trees are replanted.
Old houses are just full of downfalls, even if you happen to be getting more space and possibly a better looking house.