I think we already have a thread on this subject here somewhere. But here you are: morphine, midazolam, lorazepam, dexmedetomidine, ketamine, propofol, fentanyl, insulin, heparin, aspirin, dipyridamole, potassium chloride, magnesium sulfate, calcium chloride, dopamine, dobutamine*, milrinone*, epinephrine, norepinephrine, vasopressin, phenylephrine*, nitroprusside, clonidine, labetalol, nitroglycerin*, amiodarone, procainamide*, alprostadil*, sildenafil*, epoprostenol*, sodium bicarbonate, adenosine*, phenobarbital, phenytoin, sodium valproate, furosemide, ethacrynic acid, spironolactone/hydrochlorothiazide, acetazolamide, albuterol, piperacillin-tazobactam, meropenem, vancomycin, clindamycin, cefazolin, ceftriaxone, cefotaxime, ceftazidime, amphotericin B, fluconazole, metronidazole, famotidine, metoclopramide, diphenhydramine, dimenhydrinate, ondanstron, hydrocortisone, mannitol... that's a good start!
This list is of the most commonly used drugs in a combined cardiac/medical-surgical PICU. Obviously, if the PICU where you wind up working doesn't have cardiac patients, some of these* will be only seen infrequently. I've had patients with at least ten of these drugs going as continuous infusions, which makes for a busy shift!
Edited to add: those drugs underlined above may also be given as continuous infusions.