All Ataris, the Milan, the Suska board and MIST. Other Atari compatible platforms may also work but are not officially supported. (Check the compatibility with your hardware with the demo version.)
Atari Megafile, SCSI, IDE, ATAPI and SATA drives, removable media drives (SyQuest, ZIP, JAZ, PD, MOD, SuperDisk/LS-120, ...), SSDs, DOMs, memory cards.
Drives and memory cards of up to 1 EiB (Exbibyte). SCSI drives with a capacity > 1 GiB connected to the ACSI bus require a suitable host adapter to use their full capacity, e.g. an adapter by Inventronik, an ICD Link or a LINK96/97. (TOS, MagiC or MiNT can only use 2 TiB. Software using the SCSI Driver and supporting 64 bit sector numbers can access sectors beyond the 2 TiB limit.)
The GigaFile SD card drive (ACSI and SCSI) by Inventronik and the UltraSatan SD card drive (ACSI) by Lotharek.
Because of firmware issues SCSI2SD is not officially supported. (See the firmware issue list in the SCSI2SD release notes.) Several users have reported success, so verify the compatibility of your firmware with the HDDRIVER demo version.
ACSI2SD is not supported because of numerous issues with various drivers.
The CT* and the Afterburner040 for the Falcon are not officially supported, but are known to work in practice.
The SatanDisk is not officially supported. It is recommended to use the UltraSatan or GigaFile instead.