To any disagreeable people reading this: please bear in mind that if you say the following ideas are incorrect, and that therefore I am incorrect to say morality can be approached objectively ... you will be contradicting yourself, because you will have made an assertion about the objective truth of the matter (that I am, in fact, mistaken).
So some good goals, in my opinion:
Long term: open-ended knowledge creation
Medium term: cure aging, invent self-replicating nanobots, win war on terror, write important book, invent AI
Short term: make a sandwich, be kind to one's children, quit smoking, make a useful product, solve a problem you were having, learn how to play Mario Galaxy well
None of these are (I imagine) especially odd. That is because we have to start where we are. We already have goals. Most of them are good goals to pursue, for now. In the event we decide we want something better, or see a problem with them, we should seek to make (gradual) improvements. So, nothing revolutionary here. In fact, while I think most people are mistaken about moral philosophy, I don't have a problem with most of their actual ideas about how to live day to day. We have the most peaceful, cooperative, and effective civilization ever to exist; or, in other words, we have the most knowledge of morality that has ever existed. Average people have this, and use it in their routine lives.
Can we do even better? Of course. But most of my suggestions are not about changing one's goals, but instead about changing how one tries to accomplish them. So, for example, it is very important to enjoy criticism. This is common knowledge, but people still have trouble with it, and often don't fully understand the reasons it's important. To sketch out my answer, criticism stabilizes true ideas (because they withstand it better than their rivals), while an environment without criticism does not differentiate truth and falsity. And criticism is a means of error correction. Error correction is the only way to reliably achieve any goal. There is no way to reliably come up with the right approach, initially, so anyone who wants to consistently succeed has to be able to find and correct errors.
Why do people dislike criticism, anyway? They take it personally. They hear that they are mistaken, or bad, but they want to be right. That is an irrational and ineffective attitude towards life. If you want to be right, the only path forward is to be willing to change what you are, until you are what's right. And whether you are criticized or not does not change whether you are mistaken. It only changes whether you find out about it. That is a gift. Instead of being mistaken and ignorant, you have a change to change your mind.
So to tie this back to what I was saying earlier, one of the common points for the best way to accomplish many different goals, is to enjoy criticism. Alternative approaches such as disliking and avoiding (some) criticism are immoral, because they sabotage achieving one's goals. The more distasteful you find criticism, the less reliably you can accomplish what you want to.
To add to this, we could go through all the different attitudes which are important to learning and problem solving in general, and list them as important pieces of morality. They are all fundamental to how we should live.