Once you quit the reminder, it won’t remind you again until you buy a policy or load from a saved game.
The first three trees are fairly weak. Recently I’ve taken to buying the first Liberty policy for the +50% bonus to settler production, and I only take that if I get the policy before I start my very first Settler. The Honor tree is probably the strongest if you’re rushing, but even though I’ve been doing nothing but horseman rushes recently I usually don’t bother.
Piety’s memorable mainly for the 2 free policies (if you’re playing for a Cultural victory) and the -20% unhappiness. For a large empire, that’s significant.
Patronage is a strong tree unless you’ve got nothing but Military city states nearby. +12 happiness and the 4-5 Great People are very decent. That usually translates to a Wonder, a free technology, and a couple of Golden Ages.
Commerce gives you another +10 happiness or so, but you have to buy a lot of weak policies to get to it, so it’s generally not worth it.
Rationalism is strongest if you’ve saved your culture for it. The +2 Science per specialist combines very, very well with Freedom’s 1/2 happiness per specialist.
Freedom’s 1/2 unhappiness per specialist is much stronger than it first appears. It’s the only variable unhappiness adjustment in the game. If you have this and you’re running against the edge, you can shift a few citizens into specialists and get out of Very Unhappy, and then put them back once you’ve built some Happiness buildings. This is less important than before the patch, now that cities you opt to burn cost no unhappiness even while burning. It still matters when you take a capitol, though.
Order has several ridiculously strong abilities. +25% production for almost everything, half city unhappiness penalties, and +5 production per city. Combine that with the Forbidden Palace, which I usually do, and annexed cities cost 0 unhappiness. The only reason to build a courthouse is to avoid the 25% population unhappiness penalty, which is almost 50% if you have Theocracy.
I should try Autocracy sometime, but it looks really weak. Particularly since you have to give up Freedom, which has some strong benefits. I’ve seen people comment on the double strategic resources, but usually by the time I get to the Industrial age I have all the land and thus all the resources I can burn.
I’m currently playing on Emperor (6). I could probably try upping it another notch, but Emperor provides a comfortable level of challenge without being frustrating.