Simply go to this website
Check for Recalls: Vehicle, Car Seat, Tire, Equipment and either enter your year/make/model or your specific VIN number, depending on which category you select.
To see if any or all recalls on your vehicle have been taken care of, select the "VIN" option in the center of the page and enter your 17 digit VIN number.
For my '07 Armada LE, there are a total of 3 recalls. After I enter the VIN number, it shows that zero recalls are unrepaired... meaning everything has been addressed.
Now if you want to see what TSB's there are, click on the "Vehicle" link in the center of the page, enter your year/make/model and then look to the right where it has "Manufacturer communications"
In my case, there are 38 communications:
If I click on the number 38, it then gives me a dropdown list of all the communications. Often, they are TSB's, but not always. if you are looking for a specific TSB, you may have to dig a bit here as their descriptions can be a little convoluted.. and may just say "fuel system" or "engine".
So if I want to look at the first one, I click on the + sign at the upper right of that topic. This will expand that particular communication:
That will then show me a list of any documents that are associated with that topic. There could be one or there could be several. In this case, there happens to be one . Click on "1 associated document" and that will expand to show specific documents.
When I expand that, I see it is in PDF format. This is what I am looking for if I am searching for a TSB. A lot of times these PDF's will outline the specific issue and in some cases will give detailed steps (for the dealerships) on repairing the issue as well as specific part numbers, etc.
I have seen some issues where they have many documents associated to the topic. Some are cryptic, but I always look for the PDF files and go through them if I am researching an issue.