Lima is the capital city of Peru. I visited downtown Lima today. It was a cold winter day.
Cathedral of Lima
First place you need to visit is downtown Lima. You can visit the Cathedral, which is in the same square as the Presidential Palace . Two blocks from there you can visit The Monastery of San Francisco and the Catacombs.
Thats a Must visit , better in daylight because it may be little bit dangerous.
Sunday is the best day because that is the only day without traffic.
Second place I recommend is Miraflores, the touristic district in Lima. Almost all the hotels are in Miraflores.
Visit Larco Mar and you will be able to see the coast. Larco Mar is a shopping mall located in front of the Marriott Hotel in Lima.
Third place I recommend is Barranco, the bohemian district of Lima.
You can visit all these places in one day.
If you have more time visit La Huaca Pucllana.