I think my favorite is "dou demo ii kedo". It kind of means "whatever". Like "Aitsu to kitara nanimokamo shippai bakkari da na. Dou demo ii kedo. (That guy sure screws everything up. But whatever, I guess...)
someone obviously watches anime (cough rajs20 cough)
shinde kudasai is correct, but a bit too weird since it's polite.
shine is what you hear in anime all the time. it's an "order", so you can't say shine kudasai. just shine.
temee is good. my brother mutters it all the time...
Like OK_man said, it is a bit strange to say "please die" to someone. The reason that it's shinde kudasai is because the polite imperative (please X) is formed by adding kudasai to the -te form of verbs. Kudasai is basically an auxiliary verb here, and many auxiliaries are connected to verbs by use of the -te form, e.g. iru, aru, oku, iku, kuru, shimau. Here are some examples with main verbs:
死んでいる（しんでいる） - he's dead
書いてある（かいてある） - it has been written
言っておく（いっておく） - to tell (in advance)
あがっていく - to continue rising
寒くなってくる（さむくなってくる） - to come to be cold
食べてしまう（たべてしまう） - to eat all up