I too, have both (1959 Austin-Healey 3000 and 1960 TR3A).
Both are unmodified except for the internal engines. Both are roadsters, true sports cars (no wind-up windows, which I don’t care for).
It would not be fair to compare a TR3 with a sports convertible Healey (BJ7 and BJ8). If you want a sports convertible, get a NA Miata. They look as good, if not better, than either the Healey or TR3. They ride better, have air conditioning, get better gas milage, are more reliable, and cost one third as much.
In my opinion, the TR3 handles better than my Healey 3000, even though the TR3 does not have a front sway bar or a rear pan hard rod.
My Healey, because of what I did during the engine rebuild, has slightly more power than my TR3.
The TR3 gets better gas mileage.
Both are great to drive. The TR3 has more wind hitting the driver (I don’t use those sissy wind wing things.)
The TR3 is easier to work on due to the ease of accessing components in the engine compartment, as well as other areas.
The TR3 frame is stronger than the Healey’s frame.
Oh, the TR3 has one of those fancy glove boxes.
If I had to get rid of one of them, I’d keep my1959 Austin-Healey 3000 for a number of reasons, with probably the overriding reason being, I will have owned it for 46 years in September 2017.