miRNAs (microRNAs)
Many miRNAs have been identified as p53 targets that in turn provide p53 regulatory feedback or further its function – for detailed information, check PMID 24740682. Several are listed with aliases in parentheses and links to miRNA database (miRBAse) for the human and rat entries (many miRNAs have rat and mouse orthologs, only rat links provided when available):

miR34a (microRNA 34a) – human MIR34A; rat Mir34a
miR192 (microRNA 192, MIRN192) – human MIR192; rat Mir192
miR205 (microRNA 205) – human MIR205; rat Mir205
miR605 (MIRN605) – human MIR605
miR1204 – human MIR1204
miR215 (MIRN215) – human MIR215
miR145 (microRNA 145) – human MIR145; rat Mir145

long noncoding RNAs (lncRNAs)
Several long non-coding RNAs (lncRNAs) have been identified that either act as regulators of p53 or are p53-regulated effectors. For more detailed information check PMID 24721780. They are listed with aliases in parentheses, full name and links to gene report pages, as available:

Regulators
MALAT1 – metastasis associated lung adenocarcinoma transcript 1 (non-protein coding) (human gene)
MEG3 (GTL2, LINC00023, NCRNC00023) – maternally expressed 3 (non-protein coding) (human gene)
Wrap53 (TCAB1, WD repeat domain 79) – WD repeat containing, antisense to TP53

Effectors
H19 (ASM, ASM1, BWS) – H19, imprinted maternally expressed transcript (non-protein coding)
PANDAR (PANDA) – promoter of CDKN1A antisense DNA damage activated RNA (human gene)