You can always attempt a Gallipoli.
Succeeding is another matter. For perspective on trying it now ITTL, imagine the OTL Gallipoli campaign, but replace the Turkish batteries with modern 12in and 6in guns and crews to match.
Stationing the Imperial Fleet off Carthage-Malta-Trapani-Messina is an idea, but the Romans are
very very touchy about the security of the Aegean Basin. The last time it was exposed to naval attack, the Black Day happened. And Milan, the main (really the only at the moment) naval threat to Rhomania, has ports on the Adriatic. Yes, the bulk of its ships are in Liguria, but if the Imperial fleet split off vessels to secure the Adriatic as well, it would be too weak to hold the west against the Milanese fleet from Genoa.
Now if the Venetians fully went at it, they could potentially shut down the Adriatic, but even though it's Venetia now, Constantinople equally dislikes the idea of that city getting used to fielding a powerful fleet.
And a weak Roman navy means Milan isn't just limited to mischief on the Italian peninsula.
I've cast a butterfly net over the New World to keep things simpler. I don't know that much about pre-contact native peoples, and to be honest it's not a subject I'm interested in. Obviously contact and post-contact will go differently, because of the different Old World players, but if some Arletians had somehow made it to Tenochtitlan in 1510 they would've met Montezuma II.
I do have plans for far east countries, but I'm saving it for either during, or more likely, post-Time of Troubles. I try to spread out major events, since I don't like it on an aesthetic level to have say 8 major events take place in the 1530s, but only 1 in the 1540s.
And there's also not much going on now, unless you find this interesting:
Number of Japanese Daimyos per year:
1530: 137
1531: 139
1532: 135
1533: 142
1534: 140
1535: 144
1536: 146
1537: 0, as undead zombie horde of Kublai Khan and Mongols has risen out of the China Sea to put Japan out of my misery.
Actually, that's a cool idea. Can I do that or would it be considered ASB?