I've had my Tele a week now, and I've played none of my other guitars until today when I did a comparison / contrast of my Strat and Tele. I wasn't looking to see if one was better than the other. I'm sure these observations have been mentioned before, but here goes.
1. There's a leap and a bound between the ergonomics of the Tele and those of the Strat. On the one hand, I like both the slab o Tele and on the other, the sophisticated curves and carving of the Strat. I wouldn't choose one over the other.
2. As musical tools, they each do what they do fantastically and without merely doubling the other.
3. I feel like I can slam dance while playing the Tele and it would still stay in tune. My Strat's floating trem means I have to treat it gently. (sorry, I'm not going to stand on mine like SRV or burn it like Hendrix--the Strats survived, but barely.)
4. They both produce beautiful clean rhythm strums and arpeggios. With a bit of dirt, the Strat sings, but the Tele spits in your eye and convinces you to let it all hang out.
These are just my opinions, and opinions are like assholes: everybody's got one.