1 - War is shorter, No Spanish entry, US gains Florida, Bahamas, Bermuda, along with Quebec & Maritimes.. [B & B were Colonial Supporters]
2 - No post war British support NW Indians [GLakes], No Spanish Support SE indians [5 Civilised Tribes]
3 - No Jay Treaty [ No- Damn John Jay, and Damn anyone who supports John Jay]
4 - Slightly Slower Movement west into Ohio River Valley, as More Americans move North into Canada Instead, [what the line of 1763 was suppose to accomplish]
5 - Slightly faster movement west along the Florida Gulf Coast.
6 - With B & B Part of the US, whe have a larger Navy from the Start, More likely XYZ Affair goes Hot.
7 - XYZ Affair spirals out to include Spain [French Ally]. In 1799~1800?, the US takes New Orleans, Louisiana, Texas from Spain.
8 - No Louisiana purchase - means France doesn't get this Money, so no Invasion of Russia in 1812.
9 - Since 1790 the US has been paying the Barbary Coast Pirates, However in 1806 they decide to double the Fees.
The Larger more experienced [ITTL] US Navy has a Much Shorter then OTL Barbary War.
10 - As Both NEngland and the Maritimes are under the US Flag, the US has a much Larger Merchant Fleet, However the larger US navy prevents Britain from adopting the policy of Impressment of American Sailors.
11 - Larger US Merchant Marine, means more Smugglers in Spanish America, 2nd Spanish American war breaks out early 1810's.
US moves to Support American Liberation Movements, If you hadn't had the US take Texas in Ist War, the US gains Texas in the Second. Mexico/ other Spanish American areas, become independent.