If you're not looking for a brand new laptop but one that is gently used, maybe something like I bought my oldest child for Christmas last year (no it wasn't new, but looked new). It is a Sony Vaio VGN_FW series. The VGN-FW series offers a lot in a laptop - even for ones that are a few years old. He likes my vaio, so I bought him one that looks the same but has some minor differences under "the hood". Many have 16.4" screens, dual core processors, room for up to 8GB ram, mine has a blu-ray burner, my sons has a blu-ray player. The seller I bought my sons through on ebay is mantis10eddie.
If you prefer to purchase a new computer instead of a used one, that is understandable too. The brands I would recommend are Asus, Sony, MSI, and Acer. The best thing to do is to try out some of the new ones on display at the store, make a note of the model numbers you like, and then come home and research them to see reviews of the various models, if they can be found online cheaper, etc.