For drum mics, I highly recommend the Superlux DRK-B5C2 mic set. I bought them on a recommendation I read online some time ago for the band, and they are simply fantastic! Great sounding mics, very focused sounds with minimum spill. Also very compact. The bass drum mic is just sublime! Punchy and with lots of bass. They retail for somewhere around the £350 but are worth every penny IMO. Definitely an alternative to the Shure or AKG sets which have become industry standards.
As regards vocal and instrument mics, the SM58 for vocals and SM57 for guitars amps are also industry standards. As mentioned, Rode make great condensers for recording vocals and they can also be used as overheads if necessary. If you want a change from the standard Shure range for budget recording, Audix also make great mics (the OM2 and OM3 spring to mind).