Opening Moves > What Lies Ahead > Upstalk > Fear and Loathing > True Colors.
Jackson is hands down the most important card you can get.
What Lies Ahead contains Project Beale, but more importantly contains cards for any other deck you may want to make. (The other 3/2 Projects for other Corps, as well as Plascrete Carapace for Runners.)
Upstalk gives the next most useful upgrade: Near-Earth Hub ID.
Fear and Loathing gives you Wraparound, which is another great all-around piece of ICE for any deck you may want to make; and is especially good in NBN.
True Colors gives you Sweeps Week, which is definitely an upgrade for the deck, but I’d rank it behind all these others.
Getting a second Core should also be on the docket, I’d do it sometime after getting the NEH Identity, because if you want to get the 3rd Astro/2nd SanSan, NEH will help that strategy more.
One thing to note is that this advice is generally geared towards a Fast Advance or Asset Spam style. You said you’re more on the Taxing With Tags style, which I think means Wraparound, NEH, and Project Beale aren’t as important for you. (Sweeps Week, Jackson, and the second Core are still just as important.)