General Instruction of the Roman Missal:
“385. In the arranging and choosing of the variable parts of the Mass for the Dead, especially the Funeral Mass (for example, orations, readings, and the Universal Prayer), pastoral considerations bearing upon the deceased, the family, and those attending should be kept in mind.
Moreover, pastors should take into special account those who are present at a liturgical celebration or who hear the Gospel on the occasion of the funeral and who may be non-Catholics or Catholics who never or hardly ever participate in the Eucharist or who seem even to have lost the faith. For Priests are ministers of Christ’s Gospel for all.”
Instruction Actio pastoralis (On Masses with special groups) of 15 May 1969:
“2. It is right to include the following among those special groups for whose benefit the eucharist may be celebrated: ….
f. gatherings in the home on the occasion of a wake or other special religious occasion.”
“6. … e. In the liturgy of the word, depending on the actual situation, texts may be chosen that are more suited to the particular celebration, provided they are chosen from the texts of an approved lectionary.”
Directory for Masses with Children (22 October 1973):
“19. … Wherever the bishop permits, in addition to the adaptations already provided in the Order of the Mass, one or other of the particular adaptations described later in the Directory may be employed in a Mass celebrated with adults in which children also participate.”
“43. If all the readings assigned to the day seem to be unsuited to the capacity of the children, it is permissible to choose readings or a reading either from the Lectionary of the Roman Missal or directly from the Bible, but taking into account the liturgical seasons.”
So I think other options are permitted in some situations.
[1969 Instruction quoted from pages 673 and 674 of the book “Documents on the Liturgy 1963-1979” (c) 1982 International Committee on English in the Liturgy, Inc. Directory of 1973 quoted from pages 680 and 686 of the book “Documents on the Liturgy 1963-1979” (c) 1982 International Committee on English in the Liturgy, Inc. Excerpts from the English translation of the Roman Missal (c) 2010 International Commission on English in the Liturgy Corporation. All rights reserved.]