Alexandra Palace/Park is my favourite jogging destination. It's a nice area walking distance from Muswell Hill, where there are plenty of cafes, shops and even one Odeon Cinema.
I suppose you've looked at the map and went, uh on, but how do I get here if I don't drive? Well, it might seem that tube stations are far but they're actually walking/jogging distance. I'm an East Finchley resident and I frequently run to Ally Pally. That said, it's also a very nice 30 minute walk from the station, so don't worry about taking the tube.
But more importantly, Alexandra Park has outstanding views. I believe you have to climb up to the South Terrace, right by the Palace but you can see a large chunk of North London and all the tall buildings in central London. It gets a bit busy in the summer but the view is worth it. Autumn, winter and spring are the quiet seasons and they're great because the area is almost deserted and you can have a peaceful evening watching London go to sleep.
And finally, do check out the area around the Palace. Just weeks ago there was a pop up drive in cinema in the car park near by that has now been replaced by a fun faire. There's also a mediocre skate park and a pond with cheesy swan-shaped boats.
So all in all, Alexandra Park is really quite lovely. read more