Pain de Sucre (Sugarloaf), Ipanema Beach, Tijuca National Park, Botanic Garden, Recreo des Banderantes Beach, Barra da Tijuca
Quick Tips:
Copacabana was great, but if I had to do it again, I would stay in Ipanema. Copacabana has gone donehill somewhat, while Ipanema is tres chic. Still, it's interesting to walk around the back streets of Copacabana to get to see all the different flavors of Rio people, and to imagine what it would be like to actually live there. The people are mostly all quite attractive in various ways, and the steamy weather really brings it out.
One thing to note is that I couldn't get any of my ATM cards to work in the local bank machines; in the end, I got a cash advance on my credit card from Citibank in Ipanema, although my hotel would probably have done the same thing.
Best Way To Get Around:
I walked around a lot and took the bus. After a few days, I figured out how to get almost anywhere on the public bus system. It's like fifty cents a ride, or a dollar for a long one, so bopping around on the bus costs next to nothing. Plus you get to see an interesting section of the population on the bus, and there's a nice breeze without having to deal with the hassles of driving and parking.
Most of the people who take buses in Rio are young people without cars. If I had stayed longer, I would have liked to have gotten to some of the surrounding towns and out into the countryside from the central bus station. The bus trip to Barra de Tijuca is a long but interesting one. It goes through a tunnel after Leblon, then past Sao Conrado, where they hang glide from the cliffs, and finally out into the great suburban traffic.