Hmmm... where should we start? There are a large number of inkjet printers out there to choose from. You might get a better response here if you state what kind of price you are willing to spend. IIRC most of the market for photo printing goes to Epson and Canon. Within those two brands there are a number of good choices.
I personally like both the Epson R1800 (S$1100) and the Canon i9950 (S$750), both are very capable A3+ printers.