10 seconds is pretty good for an 1200 :-)
when I first switched on my A1200 (all those years a go) I thought it was broken, I wanted and waited... and the switched it off, then back on again... stil nothing...
Then after switching it on I left it for about 30seconds and it showed the boot screen... I was very happy :-)
I fitted a Hard drive and didn't have any slow booting problems after that.
Some games have a few issues with the Amiga Technologies A1200's due to the weird Floppy drive. Check the Aminet for any patches or try WHDload :-)