well i do keep a paper record of my game (GC vs. IJ AI). i use a gridded-paper notebook, 5 squares per inch.
there's 3 or 4 or 5 things i keep written track of:
1) date/hex of contacts w/ IJN subs, to aid my ASW efforts around Pearl, WC & Alaska.
2) date/ship of carrier-capable air-groups to a CV. the USN carriers have room for add'l (small) USMC air-groups, they must spend ~90 days aboard a CV to become carrier-trained.
3) date/location 'history' of current land-battles, culled from the land-combat reports. these lists include date, location, enemy disposition (bombardment, deliberate or shock attack), each side's reported Assault Value, and my side's supply level. i don't write down the ones where i'm obviously gonna get creamed in short order, but only for those where i'm putting up a fight! but i keep a list of the battles that i feel are important. for example, i cross-index the date & location - 8 June 42 @ Port Moresby, i list "B1231:640(55)". that's my shorthand for "IJ Bombardment w/ 1231 AV against my 640 AV defenders, who have 55,000 supply". i add this info to my written list, then look at my written history to see that the IJ has been making only Bombardment attacks against Port Moresby for ~50 days, that each side's AV is relatively stable, but my supply has declined from 73k to 55k. so i conclude that i've been successful in ruining IJ attempts to bring in more supply & combat power to the hex, that my defenders still have adequate supply, but i'll need to bring in some serious LCU (& add'l supply) to kick the attackers out.
4) date/location of assault planning, and shipping use. i've got any number of irons in the fire, they all need some record-keeping. there's a bunch of Restricted units i've got planning for a Phib assault on Guadalcanal, but i won't be able to load them to an AmphTF if i haven't spent PP to change their HQ. at the same time, i need PP in other theaters. so, a written display of time-critical PP use is essential to future operations. say, i gain 50PP each day, i know i'll need X PP in mid-July for my Guadalcanal troops, that leaves me Y PP to use somewhere else.