For detailed reviews on X-ray burst sources, covering most information that was available prior to 1994, see [1].Since those reviews there have been very important new developments. First, a surprisingly new animal, GRO J1744-28 (better known as the Bursting Pulsar), made its debut in 1995. Second, but NOT last, in 1996/97 kHz pulsations were discovered in the persistent emission of several burst sources, and near coherent pulsations were detected in type I X-ray bursts.The Bursting Pulsar. GRO J1744-28 was discovered with BATSE on 1995 December 2, when over 80 hard X-ray bursts with durations of 10-30 s were detected [2]. The pulsar period is 467 ms, and pulsations are detected in the persistent emission and in the type II bursts (see [3], [4]). The pulsar is in a nearly circular orbit (e < 1.1 x 10~3) with an 11.8 day orbital period [3]. The very small X-ray mass function indicates that the companion is most likely a low-mass (M < 1M 0 ) star. GRO J1744-28 joins just 7 other pulsars detected in low-mass X-ray binary (LMXB) systems.The first major outburst of the source lasted from its discovery on 1995 December 2 until 1995 May. A less intense reactivation was observed during 1995 June-July. The beginning of a second major outburst was detected with BATSE on 1996 December 2, exactly one year after the first detection of the source [5]. The second large outburst is nearly a carbon-copy of the first. The long-term light curves show similar profiles. In both outbursts the rate of repetitive X-ray bursts was 150-200 per day (corrected for Earth occultation and live time) on the first day of activity; thereafter the rate settled down to 30-50 per day for the duration of the outburst [6].Observations with OSSE on CGRO showed that the phase of the 467 ms pulsations during and after bursts lags the phase prior to bursts by as much as 90 ms [7]. Observations with RXTE confirmed the pulse phase lags after bursts [8] and showed that the persistent emission following bursts is often depressed below its pre-burst level [9]. The RXTE PCA spectrum of the source is typical of X-ray pulsars [9]. The brightest bursts observed with RXTE in 1996 January had peak intensities of ~75 Crab (although this number is somewhat uncertain due to large dead time corrections). At an assumed distance of 7 kpc this corresponds to an assumed isotropic burst peak luminosity in excess of 50 Eddington luminosities! Kouveliotou et al. suggested that the repetitive bursts are caused by an instability in the accretion flow onto the neutron star [2]. A thermonuclear flash (type I X-ray burst) model for the repetitive bursts is excluded because the persistent X-ray emission during 1995 December 2 and 1996 December 2 was insufficient to account for the required replenishment of burnt fuel through accretion. The upper limits for the ratio, a, of the 20-100 keV persistent emission to the timeaveraged burst emission are a < 4 (3