When my wife and I first got married, she was disappointed that we didn't get a rice cooker as a wedding gift. We were broke, so she didn't want to spend money on a good one yet, but she also didn't want a cheap one, so we made our rice over the stove. Basically the same finger trick as with a rice cooker. Rinse the rice 3 times, add water to the first joint line, bring to a boil, then cover and turn down to lowest heat, and get perfect rice every time. But, yeah, a good rice cooker is even better. For both of our boys in college, that was a "must have" item on both of their lists.
For the wok, if you intend to make Asian-inspired dishes with any sort of regularity, I would advise getting 4 ingredients: Soy sauce (which you probably already have, but if you find you are using it a lot, find an Asian market, and you can find a bigger plastic bottle or jug than what is sold in the "Asian" aisle of most American supermarkets), a bottle of Hoisin sauce, a bottle of oyster sauce, and a jar of minced garlic (fresh garlic is better, obviously, but if you lack the time to mince it and want to have this on hand, it's a great substitute that lasts a LONG time in the fridge). Various combinations of some or all of those ingredients, and sometimes with addition of other more common ingredients you probably have on hand, will make the vast majority of sauces you will want to make. Adding red pepper flakes is a good way to spice it up without changing the flavor profile or having to shop for fresh peppers if your store doesn't have hot peppers that you would normally associate with Asian cooking.