During the last years, the number of 360° videos available for streaming has rapidly increased, leading to the need for 360° streaming video quality assessment. In this paper, we report and publish results of three subjective 360° video quality tests, with conditions used to reflect real-world bitrates and resolutions including 4K, 6K and 8K, resulting in 64 stimuli each for the first two tests and 63 for the third. As playout device we used the HTC Vive for the first and HTC Vive Pro for the remaining two tests. Video-quality ratings were collected using the 5-point Absolute Category Rating scale. The 360° dataset provided with the paper contains the links of the used source videos, the raw subjective scores, video-related meta-data, head rotation data and Simulator Sickness Questionnaire results per stimulus and per subject to enable reproducibility of the provided results. Moreover, we use our dataset to compare the performance of state-of-the-art full-reference quality metrics such as VMAF, PSNR, SSIM, ADM2, WS-PSNR and WS-SSIM. Out of all metrics, VMAF was found to show the highest correlation with the subjective scores. Further, we evaluated a center-cropped version of VMAF ("VMAF-cc") that showed to provide a similar performance as the full VMAF. In addition to the dataset and the objective metric evaluation, we propose two new video-quality prediction models, a bitstream meta-data-based model and a hybrid no-reference model using bitrate, resolution and pixel information of the video as input. The new lightweight models provide similar performance as the full-reference models while enabling fast calculations.