Early DVD players were fussy about the type of disc they would read. More recent ones usually read all formats. The main decision is whether to use DVD+R or DVD-R and the jury is out on which format is playable on most DVD players.
I tend to burn to a RW disc initially to check it is OK then copy to a R disc as these are more durable. No matter how carefully you check as you assemble your footage, you want to change something.
Just reading your post again, I suspect you have just copied MPEG files on to a DVD rather than creating an edited DVD masterpiece with menues etc. If you want to create a DVD you will need software such as Pinnacle Studio.