Do you need full cash/accrual - ap/ar subledger accounting system? If yes, you choices will be very limited. If you don't then you have a lot more options.
I remember 2 full accounting systems for the Amiga. Phasar was one and I can't remember the name of the other. I still have phasar buried in a mix of stuff if you want me to drag it out and try to answer questions on it.
The other system that I will remember someday, is a business AR, AP, GL, BD cash/accrual system . Phasar is a decent accounting system think it is only cash basis.
The best home accouning software I found and use to this day is CheckItOut. It was only a few dollars and can read quickbook cio files. I really like this software, it has a very fast input engine, a decent budget and reporting system. I like it because it can generate standard revenue/expense and balance sheets. It is very vast to use for entry and reporting. It isn't sexy, it's not MUI and no graphing, but you will not find a better home accounting system, it has it where it counts...
Only problem is that I don't think the author supports it, sad don't think it sold very well (I was the 20th registered user...)