Not love birds. We had an aveiary when I was young, it was divided into two sections. The Love birds would bite the parakeets toes nearly off when they climbed on the wire between the sections. Love birds tend to be very territorial so I try something else.
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Cockatiels and Bourke parrots are good companions for budgies, but Bourkes are not very assertive and will likely not breed with budgies in the cage.
Other small parrots can also live with budgies, as can zebra finches. Quails can live in the bottom of the cage also.