I have a 2007 TSX with 37,000 miles that my wife has had since new. I have done the following:

-Oil Change with synthetic and mobil 1 filter EVERY OTHER time the maintence minder says oil change due (I then reset it)
-Changed air filter once
-Changed tires once
-Changed brake fluid once
-Changed brake pads once on all 4 corners

I haven't done anything else other than the above. I only thought the maintenence minder was for oil changes, and didn't know it directed me to do other things.

I have no problem listening to it going forward on what needs done since I know that now, BUT

What have I missed up to 37,000 miles? (i.e. what service codes came up till now?)

Is there a way for me to check the history of codes that have appeared?

sounds like you got most of them.
basically, at 37,000 miles all that comes up on the MID is A services and B services.
which are oil changes and tire rotations.

You'll find in your (her) owner's manual a chart that explains what service is called for when the MM shows an A or B service and the various code numbers (1-7). At this time (and mileage), I think you've most likely only gotten codes for oil and filter changes and tire rotations (and possibly the air filter and cabin filter). The brake fluid change has an interval of 3 years regardless of mileage and I'm quite sure is not covered by the MM. I think the MM only has codes for service items with mileage based intervals. There is a code for an air filter and cabin filter change (they have separate codes) by the way. If you haven't changed the cabin filter, you certainly should do that (and regardless of what the MM calls for, I would suggest changing it once a year from now on).

Do you mean that you change the oil and filter every other time the MM goes to zero? Just because you're using synthetic oil doesn't mean it stays clean any longer than regular motor oil. I'm a fan and have used it exclusively in my 05 (130K miles) and my wife's 07 (over 100K miles), but I don't think extended change intervals are one of it's claims to fame. It's exposed to the same crappy air (and tiny oil filter).